No detergent has a disinfectant in it.
If you're worried about your diapers though, just add 1/4 a cup of bleach to the load about once a month and you're golden.
This. And you might have better luck washing every day and having buffer room to take a day to process, or the loads often get too big. Now that they're pooping a lot less, I could techically wash every day and a half, but it's just easier to have a system to throw them in the wash every night and I never forget that way! :)