11013131033320 has 256 divisors, whose sum is σ = 27912554510400. Its totient is φ = 3882641817600.

The previous prime is 11013131033309. The next prime is 11013131033323. The reversal of 11013131033320 is 2333013131011.

It can be written as a sum of positive squares in 32 ways, for example, as 636009440004 + 10377121593316 = 797502^2 + 3221354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11013131033291 and 11013131033300.

It is not an unprimeable number, because it can be changed into a prime (11013131033323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427122102 + ... + 1427129818.

Almost surely, 2^{11013131033320} is an apocalyptic number.

11013131033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013131033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956277255200).

11013131033320 is an abundant number, since it is smaller than the sum of its proper divisors (16899423477080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11013131033320 is a wasteful number, since it uses less digits than its factorization.

11013131033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11013131033320 its reverse (2333013131011), we get a palindrome (13346144164331).

The spelling of 11013131033320 in words is "eleven trillion, thirteen billion, one hundred thirty-one million, thirty-three thousand, three hundred twenty".