Ollie Rathbone's curling effort gave Wrexham an early lead only to be cancelled out by Lyndon Dykes' header nine minutes later.
It leaves Blues five points clear of Wrexham in third spot and still top of the table after Wycombe were held to a 0-0 draw at home to Northampton Town.
Here is where the Blues are now being tipped to finish, with a supercomputer – run on behalf of CasinoHawks – expecting the League One table to look like this.
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1. Birmingham City
101pts (+41) Photo: Getty Images

2. Wycombe Wanderers
93pts (+38) Photo: Getty Images

3. Stockport County
87pts (+27) Photo: Getty Images

4. Leyton Orient
83pts (+28) Photo: Getty Images