Film does expire, but for 35mm film the expiry date is typically printed on the outer box, not on the cartridge itself. The number on the canister is usually a production or batch code rather than a readable expiry date.

So if the box is gone, there usually isn’t a practical way to know the exact expiry date from the roll alone.

For Fujichrome Sensia 100 specifically, Sensia was discontinued in 2010, and film of that type commonly had expiry dates roughly 2–3 years after manufacture. That means any remaining roll is very likely expired by now.

Expired film can still produce usable images, especially if it was stored cold, and your experience of it working normally is entirely plausible.