Help! I moved in with a 13 year old :(?

FYI I'm 20, and I just moved into a house with some friends, one of them I have been very good friends with, but she's near impossible to live with. She takes NOTHING at face value and will overreact at the slightest things. For example, I was cleaning the stove with soap and what not when she got back from work. She then says "Ok! I'll do dishes" and so we're both cleaning. I need to use the sink so I need to invade her space to rinse the sponge out, after 5 times of this she gets mad/pissy that i keep coming over and interupting her stream. Then I have to wait suddy and gross for 10 minutes while I wait for her to finish (as I'm avoiding a outbreak). Finally she's messing with the dry dishes so I get in there and start rinsing my gross stuff off, she then yells out "WHATEVER" at me, and then goes into her room where she will stay for however long she wishes claiming that she "doesn't hate me she hates herself". >.> Ugh.

She goes at things quick and angry, she's broken many, many things of mine, and this morning she wanted my external harddrive sitting on the floor away from both of us. I tell her to go get it and she goes at it super fast, unplugs it while it's on, then scampers off without the power cord.

T_T; So I said "Why couldn't you have been more careful" and she starts freaking out and yelling at me, so naturally I start yelling back telling her that, yes it is my stuff but she should have had the were-with-all to first see what she's dealing with before going at it like she knows everything.

She gathers her stuff and goes into her room to sit there again for another how many hours.

I'm sick of this. I'm paying for just about everything, and I never get so much as a thank you, I just get bitched at. Help!!