The steam_api.dll is a dynamic link library file used by the Steam client to verify ownership and manage features like achievements and multiplayer. When F1 2013 fails to launch because of this file, it is typically due to one of three reasons:
Navigate to the game folder: ...SteamApps/common/f12013/_CommonRedist/ Run the installers inside the and vcredist folders. A Note on "DLL Download" Sites f1 2013 steamapidll 39link39 best
Your OS might not be looking in the right folder for the required library. How to Fix F1 2013 Steam_api.dll Errors 1. Verify Integrity of Game Files (The Safest Way) The steam_api