Unlike South Park: Phone Destroyer (which is a mobile-native card game), The Stick of Truth was built for PC, PlayStation 3, and Xbox 360. While the game eventually made its way to newer consoles (PS4, Xbox One, Switch) via The Fractured But Whole bundle, it never touched mobile operating systems.
"South Park: The Stick of Truth" is a single-player role‑playing video game based on the animated series South Park. Originally developed by Obsidian Entertainment and published by Ubisoft, it released for consoles and PC in 2014. An "APK" refers to the Android package file format used to distribute and install apps on Android devices. There is no official or licensed Android APK of the full retail game from the original publishers.
: Since there is no official mobile port, "APK" files found online are often fake, containing malware or unrelated software. Official Mobile Game
While I can’t provide a download link or an APK file for South Park: The Stick of Truth
