Has there ever been a 13–0 in all competitions?

Yes, 1 time.

The only time: October 24, 2020, Ajax beat VVV-Venlo (VVV-Venlo 0–13 Ajax) · Eredivisie.

Nearby scores

1. 14–0 3 times
2. 14–1 Never
3. 13–0 1 time
4. 13–1 1 time
5. 12–0 7 times
6. 12–1 3 times