Congratulations @duerer!
I should have waited and get the 1001th reply myself.
Not only does 1001 have the beautiful factorization: 7 * 11 * 13,
but also, 1001 being 10³+1, it is closely related to 10-1, also known as 9, which is the page number!
How are they related you ask? Well, I won’t bore you with all the details (higher number theory which would take too long to explain), but think of how we can test if a number is divisible by 9 by adding all the digits (this is due to 9 being 10-1) and how we can test if a number is divisible by 7, 11, or 13 by alternatingly subtracting and adding the digits in groups of 3.
(Compare that with testing if a number is divisible by 11 (10+1!) by alternatingly subtracting and addding the digits…)
Again: for me 1001 is a lot more beautiful than 1000 (which is about as boring as a number can get), especially on page 9.