Help. I hate being fat and ugly!?

I'm 13 and I weigh 160 pounds and I'm 5,5. I'm tall for my age but it's just that everytime I look in the mirror I think I look horrible and fat and just plain ugly. When everybody says that I'm not fat and that I'm pretty but I know that they are all lying just to make me feel better. I've tried so may diets and I even tried to be anorexic once. But then I always go back to eating. And everytime I eat I feel guilty and throw it all up. My parents don't have time to take me to a gym or buy me a treadmill. Im just in desperate need to be skinny. I'd do anything to be thin and not be ugly and fat like I am now.