Google Play services 13.2.78 (110300-210410490) ( ... - APKMirror

Google Play Services does not have a user interface. It operates as a critical background framework. It continuously updates Google APIs and application packages independently of cellular carrier modifications or standard Android OS system over-the-air (OTA) updates.

: Certain legacy apps, customized system ROMs, or location-spoofing utilities require specific architectural hooks that only existed in Google Play Services v13 builds. Understanding the Architecture Suffixes Google Play services 9.0.78 - APKMirror

If your goal is to fix Play Services errors on an old device, consider these safer options before resorting to legacy APKs:

: Provides access to the latest user privacy settings and security patches.