A team has finished a game with 13-1-0 runs-hits-errors line 2 times since 1897, most recently New York Cubans on 5 June 1947. That is about one every 221,502 team-games.
Box score for the most recent one ↗
12-23-0 12-23-2 12-23-3 12-23-1 12-24-2 12-24-1 13-1-0 13-7-1 13-8-1 13-8-6 13-8-0 13-9-6 13-9-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes