When it comes to mold killing, you won’t find a paint that will kill it. Some paints and primers on the market claim to kill the mold; often, these are ineffective. They can cover the visible mold but are unlikely to kill and treat the mold, leaving you with the problem.
However, many customers found success with Zinsser Mold Killing Primer and found that it worked well underneath paint to kill and treat the mold. Similar to the mold-resistant paint, it contains EPA registered antimicrobial agents that prevent the growth of mold and mildew.
Again it has its limitations. While it will cover and prevent mold from appearing, it does not always treat the mold and cure it from your walls and ceilings. It is best to use a mold remover first, treat the walls, and then follow with a preventative treatment rather than seek a cure-all paint that could disappoint you.