diff --git a/go.mod b/go.mod
index 7e2d43c823..391925fb85 100644
--- a/go.mod
+++ b/go.mod
@@ -114,7 +114,7 @@ require (
 	golang.org/x/term v0.12.0 // indirect
 	golang.org/x/text v0.13.0 // indirect
 	golang.org/x/time v0.3.0 // indirect
-	golang.org/x/tools v0.12.0 // indirect
+	golang.org/x/tools v0.13.0 // indirect
 	google.golang.org/appengine v1.6.8 // indirect
 	google.golang.org/genproto v0.0.0-20230803162519-f966b187b2e5 // indirect
 	google.golang.org/genproto/googleapis/api v0.0.0-20230913181813-007df8e322eb // indirect
diff --git a/go.sum b/go.sum
index e45631707c..c33f3dd20e 100644
--- a/go.sum
+++ b/go.sum
@@ -292,8 +292,8 @@ golang.org/x/tools v0.0.0-20200619180055-7c47624df98f/go.mod h1:EkVYQZoAsY45+roY
 golang.org/x/tools v0.0.0-20210106214847-113979e3529a/go.mod h1:emZCQorbCU4vsT4fOWvOPXz4eW1wZW4PmDk9uLelYpA=
 golang.org/x/tools v0.1.1/go.mod h1:o0xws9oXOQQZyjljx8fwUC0k7L1pTE6eaCbjGeHmOkk=
 golang.org/x/tools v0.1.12/go.mod h1:hNGJHUnrk76NpqgfD5Aqm5Crs+Hm0VOH/i9J2+nxYbc=
-golang.org/x/tools v0.12.0 h1:YW6HUoUmYBpwSgyaGaZq1fHjrBjX1rlpZ54T6mu2kss=
-golang.org/x/tools v0.12.0/go.mod h1:Sc0INKfu04TlqNoRA1hgpFZbhYXHPr4V5DzpSBTPqQM=
+golang.org/x/tools v0.13.0 h1:Iey4qkscZuv0VvIt8E0neZjtPVQFSc870HQ448QgEmQ=
+golang.org/x/tools v0.13.0/go.mod h1:HvlwmtVNQAhOuCjW7xxvovg8wbNq7LwfXh/k7wXUl58=
 golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
 golang.org/x/xerrors v0.0.0-20191011141410-1b5146add898/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
 golang.org/x/xerrors v0.0.0-20191204190536-9bdfabe68543/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
diff --git a/vendor/golang.org/x/tools/go/internal/packagesdriver/sizes.go b/vendor/golang.org/x/tools/go/internal/packagesdriver/sizes.go
index 18a002f82a..0454cdd78e 100644
--- a/vendor/golang.org/x/tools/go/internal/packagesdriver/sizes.go
+++ b/vendor/golang.org/x/tools/go/internal/packagesdriver/sizes.go
@@ -8,7 +8,6 @@ package packagesdriver
 import (
 	"context"
 	"fmt"
-	"go/types"
 	"strings"
 
 	"golang.org/x/tools/internal/gocommand"
@@ -16,7 +15,7 @@ import (
 
 var debug = false
 
-func GetSizesGolist(ctx context.Context, inv gocommand.Invocation, gocmdRunner *gocommand.Runner) (types.Sizes, error) {
+func GetSizesForArgsGolist(ctx context.Context, inv gocommand.Invocation, gocmdRunner *gocommand.Runner) (string, string, error) {
 	inv.Verb = "list"
 	inv.Args = []string{"-f", "{{context.GOARCH}} {{context.Compiler}}", "--", "unsafe"}
 	stdout, stderr, friendlyErr, rawErr := gocmdRunner.RunRaw(ctx, inv)
@@ -29,21 +28,21 @@ func GetSizesGolist(ctx context.Context, inv gocommand.Invocation, gocmdRunner *
 			inv.Args = []string{"GOARCH"}
 			envout, enverr := gocmdRunner.Run(ctx, inv)
 			if enverr != nil {
-				return nil, enverr
+				return "", "", enverr
 			}
 			goarch = strings.TrimSpace(envout.String())
 			compiler = "gc"
 		} else {
-			return nil, friendlyErr
+			return "", "", friendlyErr
 		}
 	} else {
 		fields := strings.Fields(stdout.String())
 		if len(fields) < 2 {
-			return nil, fmt.Errorf("could not parse GOARCH and Go compiler in format \"<GOARCH> <compiler>\":\nstdout: <<%s>>\nstderr: <<%s>>",
+			return "", "", fmt.Errorf("could not parse GOARCH and Go compiler in format \"<GOARCH> <compiler>\":\nstdout: <<%s>>\nstderr: <<%s>>",
 				stdout.String(), stderr.String())
 		}
 		goarch = fields[0]
 		compiler = fields[1]
 	}
-	return types.SizesFor(compiler, goarch), nil
+	return compiler, goarch, nil
 }
diff --git a/vendor/golang.org/x/tools/go/packages/golist.go b/vendor/golang.org/x/tools/go/packages/golist.go
index 58230038a7..b5de9cf9f2 100644
--- a/vendor/golang.org/x/tools/go/packages/golist.go
+++ b/vendor/golang.org/x/tools/go/packages/golist.go
@@ -9,7 +9,6 @@ import (
 	"context"
 	"encoding/json"
 	"fmt"
-	"go/types"
 	"io/ioutil"
 	"log"
 	"os"
@@ -153,10 +152,10 @@ func goListDriver(cfg *Config, patterns ...string) (*driverResponse, error) {
 	if cfg.Mode&NeedTypesSizes != 0 || cfg.Mode&NeedTypes != 0 {
 		sizeswg.Add(1)
 		go func() {
-			var sizes types.Sizes
-			sizes, sizeserr = packagesdriver.GetSizesGolist(ctx, state.cfgInvocation(), cfg.gocmdRunner)
-			// types.SizesFor always returns nil or a *types.StdSizes.
-			response.dr.Sizes, _ = sizes.(*types.StdSizes)
+			compiler, arch, err := packagesdriver.GetSizesForArgsGolist(ctx, state.cfgInvocation(), cfg.gocmdRunner)
+			sizeserr = err
+			response.dr.Compiler = compiler
+			response.dr.Arch = arch
 			sizeswg.Done()
 		}()
 	}
diff --git a/vendor/golang.org/x/tools/go/packages/packages.go b/vendor/golang.org/x/tools/go/packages/packages.go
index da1a27eea6..124a6fe143 100644
--- a/vendor/golang.org/x/tools/go/packages/packages.go
+++ b/vendor/golang.org/x/tools/go/packages/packages.go
@@ -220,8 +220,10 @@ type driverResponse struct {
 	// lists of multiple drivers, go/packages will fall back to the next driver.
 	NotHandled bool
 
-	// Sizes, if not nil, is the types.Sizes to use when type checking.
-	Sizes *types.StdSizes
+	// Compiler and Arch are the arguments pass of types.SizesFor
+	// to get a types.Sizes to use when type checking.
+	Compiler string
+	Arch     string
 
 	// Roots is the set of package IDs that make up the root packages.
 	// We have to encode this separately because when we encode a single package
@@ -262,7 +264,7 @@ func Load(cfg *Config, patterns ...string) ([]*Package, error) {
 	if err != nil {
 		return nil, err
 	}
-	l.sizes = response.Sizes
+	l.sizes = types.SizesFor(response.Compiler, response.Arch)
 	return l.refine(response)
 }
 
diff --git a/vendor/golang.org/x/tools/go/types/objectpath/objectpath.go b/vendor/golang.org/x/tools/go/types/objectpath/objectpath.go
index c725d839ba..fa5834baf7 100644
--- a/vendor/golang.org/x/tools/go/types/objectpath/objectpath.go
+++ b/vendor/golang.org/x/tools/go/types/objectpath/objectpath.go
@@ -32,6 +32,7 @@ import (
 	_ "unsafe"
 
 	"golang.org/x/tools/internal/typeparams"
+	"golang.org/x/tools/internal/typesinternal"
 )
 
 // A Path is an opaque name that identifies a types.Object
@@ -127,12 +128,15 @@ type Encoder struct {
 	skipMethodSorting bool
 }
 
-// Exposed to gopls via golang.org/x/tools/internal/typesinternal
-// TODO(golang/go#61443): eliminate this parameter one way or the other.
+// Expose back doors so that gopls can avoid method sorting, which can dominate
+// analysis on certain repositories.
 //
-//go:linkname skipMethodSorting
-func skipMethodSorting(enc *Encoder) {
-	enc.skipMethodSorting = true
+// TODO(golang/go#61443): remove this.
+func init() {
+	typesinternal.SkipEncoderMethodSorting = func(enc interface{}) {
+		enc.(*Encoder).skipMethodSorting = true
+	}
+	typesinternal.ObjectpathObject = object
 }
 
 // For returns the path to an object relative to its package,
@@ -572,17 +576,16 @@ func findTypeParam(obj types.Object, list *typeparams.TypeParamList, path []byte
 
 // Object returns the object denoted by path p within the package pkg.
 func Object(pkg *types.Package, p Path) (types.Object, error) {
-	return object(pkg, p, false)
+	return object(pkg, string(p), false)
 }
 
 // Note: the skipMethodSorting parameter must match the value of
 // Encoder.skipMethodSorting used during encoding.
-func object(pkg *types.Package, p Path, skipMethodSorting bool) (types.Object, error) {
-	if p == "" {
+func object(pkg *types.Package, pathstr string, skipMethodSorting bool) (types.Object, error) {
+	if pathstr == "" {
 		return nil, fmt.Errorf("empty path")
 	}
 
-	pathstr := string(p)
 	var pkgobj, suffix string
 	if dot := strings.IndexByte(pathstr, opType); dot < 0 {
 		pkgobj = pathstr
diff --git a/vendor/golang.org/x/tools/internal/typeparams/coretype.go b/vendor/golang.org/x/tools/internal/typeparams/coretype.go
index 993135ec90..71248209ee 100644
--- a/vendor/golang.org/x/tools/internal/typeparams/coretype.go
+++ b/vendor/golang.org/x/tools/internal/typeparams/coretype.go
@@ -81,13 +81,13 @@ func CoreType(T types.Type) types.Type {
 // restrictions may be arbitrarily complex. For example, consider the
 // following:
 //
-//  type A interface{ ~string|~[]byte }
+//	type A interface{ ~string|~[]byte }
 //
-//  type B interface{ int|string }
+//	type B interface{ int|string }
 //
-//  type C interface { ~string|~int }
+//	type C interface { ~string|~int }
 //
-//  type T[P interface{ A|B; C }] int
+//	type T[P interface{ A|B; C }] int
 //
 // In this example, the structural type restriction of P is ~string|int: A|B
 // expands to ~string|~[]byte|int|string, which reduces to ~string|~[]byte|int,
diff --git a/vendor/golang.org/x/tools/internal/typeparams/termlist.go b/vendor/golang.org/x/tools/internal/typeparams/termlist.go
index 933106a23d..cbd12f8013 100644
--- a/vendor/golang.org/x/tools/internal/typeparams/termlist.go
+++ b/vendor/golang.org/x/tools/internal/typeparams/termlist.go
@@ -30,7 +30,7 @@ func (xl termlist) String() string {
 	var buf bytes.Buffer
 	for i, x := range xl {
 		if i > 0 {
-			buf.WriteString(" ∪ ")
+			buf.WriteString(" | ")
 		}
 		buf.WriteString(x.String())
 	}
diff --git a/vendor/golang.org/x/tools/internal/typeparams/typeterm.go b/vendor/golang.org/x/tools/internal/typeparams/typeterm.go
index 7ddee28d98..7350bb702a 100644
--- a/vendor/golang.org/x/tools/internal/typeparams/typeterm.go
+++ b/vendor/golang.org/x/tools/internal/typeparams/typeterm.go
@@ -10,11 +10,10 @@ import "go/types"
 
 // A term describes elementary type sets:
 //
-//   ∅:  (*term)(nil)     == ∅                      // set of no types (empty set)
-//   𝓤:  &term{}          == 𝓤                      // set of all types (𝓤niverse)
-//   T:  &term{false, T}  == {T}                    // set of type T
-//  ~t:  &term{true, t}   == {t' | under(t') == t}  // set of types with underlying type t
-//
+//	 ∅:  (*term)(nil)     == ∅                      // set of no types (empty set)
+//	 𝓤:  &term{}          == 𝓤                      // set of all types (𝓤niverse)
+//	 T:  &term{false, T}  == {T}                    // set of type T
+//	~t:  &term{true, t}   == {t' | under(t') == t}  // set of types with underlying type t
 type term struct {
 	tilde bool // valid if typ != nil
 	typ   types.Type
diff --git a/vendor/golang.org/x/tools/internal/typesinternal/objectpath.go b/vendor/golang.org/x/tools/internal/typesinternal/objectpath.go
new file mode 100644
index 0000000000..5e96e89557
--- /dev/null
+++ b/vendor/golang.org/x/tools/internal/typesinternal/objectpath.go
@@ -0,0 +1,24 @@
+// Copyright 2023 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package typesinternal
+
+import "go/types"
+
+// This file contains back doors that allow gopls to avoid method sorting when
+// using the objectpath package.
+//
+// This is performance-critical in certain repositories, but changing the
+// behavior of the objectpath package is still being discussed in
+// golang/go#61443. If we decide to remove the sorting in objectpath we can
+// simply delete these back doors. Otherwise, we should add a new API to
+// objectpath that allows controlling the sorting.
+
+// SkipEncoderMethodSorting marks enc (which must be an *objectpath.Encoder) as
+// not requiring sorted methods.
+var SkipEncoderMethodSorting func(enc interface{})
+
+// ObjectpathObject is like objectpath.Object, but allows suppressing method
+// sorting.
+var ObjectpathObject func(pkg *types.Package, p string, skipMethodSorting bool) (types.Object, error)
diff --git a/vendor/golang.org/x/tools/internal/typesinternal/types.go b/vendor/golang.org/x/tools/internal/typesinternal/types.go
index 66e8b099bd..ce7d4351b2 100644
--- a/vendor/golang.org/x/tools/internal/typesinternal/types.go
+++ b/vendor/golang.org/x/tools/internal/typesinternal/types.go
@@ -11,8 +11,6 @@ import (
 	"go/types"
 	"reflect"
 	"unsafe"
-
-	"golang.org/x/tools/go/types/objectpath"
 )
 
 func SetUsesCgo(conf *types.Config) bool {
@@ -52,17 +50,3 @@ func ReadGo116ErrorData(err types.Error) (code ErrorCode, start, end token.Pos,
 }
 
 var SetGoVersion = func(conf *types.Config, version string) bool { return false }
-
-// SkipEncoderMethodSorting marks the encoder as not requiring sorted methods,
-// as an optimization for gopls (which guarantees the order of parsed source files).
-//
-// TODO(golang/go#61443): eliminate this parameter one way or the other.
-//
-//go:linkname SkipEncoderMethodSorting golang.org/x/tools/go/types/objectpath.skipMethodSorting
-func SkipEncoderMethodSorting(enc *objectpath.Encoder)
-
-// ObjectpathObject is like objectpath.Object, but allows suppressing method
-// sorting (which is not necessary for gopls).
-//
-//go:linkname ObjectpathObject golang.org/x/tools/go/types/objectpath.object
-func ObjectpathObject(pkg *types.Package, p objectpath.Path, skipMethodSorting bool) (types.Object, error)
diff --git a/vendor/modules.txt b/vendor/modules.txt
index cb83e7b802..ce5f97e300 100644
--- a/vendor/modules.txt
+++ b/vendor/modules.txt
@@ -487,7 +487,7 @@ golang.org/x/text/width
 # golang.org/x/time v0.3.0
 ## explicit
 golang.org/x/time/rate
-# golang.org/x/tools v0.12.0
+# golang.org/x/tools v0.13.0
 ## explicit; go 1.18
 golang.org/x/tools/go/ast/inspector
 golang.org/x/tools/go/gcexportdata