What P0513 usually means
P0513 is one of those codes that feels simple on paper and maddening in real life. The vehicle is telling you that the key being presented does not match what the immobilizer expects, or that the authentication path between the key, antenna ring, body control module, and PCM is breaking down badly enough to look like the wrong key. That makes P0513 more than a locksmith keyword. It often shows up as an intermittent no-start, hard start, or security-light complaint after battery issues, module work, a damaged key shell, or water intrusion around theft-deterrent components.