Is this Black Mold?

Hey everyone! This is my first post here and I’m looking for some advice. I had to move back in with my parents a few months ago and let’s just say their general upkeep of the apartment was…not great. Since I moved in, I’ve felt like the only one who does any cleaning around the place. I’ve brought it up to them a couple of times and was met with platitudes (I’ve been meaning to get to it/I was gonna do it on my next day off/etc.) The most effort I’ve seen from them is cleaning the toilet—and only the toilet—but that’s only after grime and mold start growing. I assumed that maybe, just maybe, it was a sign that one of them is going to clean the bathroom. Nope. It’s only ever just the toilet. So, I finally decided to just do it myself. What you see in the picture is a corner of the bath tub. A bottle of shampoo sat there pretty much since I moved in, if not longer. I suspect that it’s black mold but I’m not sure, which is why I’ve turned to you guys. My mom is allergic to penicillin and all of its relatives so it’s important that I know what it is so I can act accordingly. Any and all cleaning advice and tips are greatly appreciated. Thanks!

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