How hard is it for me to get into Juilliard School?

Hi. I'm 13 years old, and I've been playing the piano since I was 5, and have had private tutors. I've wanted to go to the Juilliard School since I was little. I've played alot of songs by Mozart, Bach, Beethoven, Debussy, Shubert, Chopin, Haydn and many more. I'm learning music theory, and I also have perfect pitch and I memorize music very quickly. I have been in many contests and recitals and such. How hard would it be for me to go to Juilliard, and what should I do?