13021330311120 has 160 divisors (see below), whose sum is σ = 40404637937664. Its totient is φ = 3469043404800.

The previous prime is 13021330311113. The next prime is 13021330311127. The reversal of 13021330311120 is 2111303312031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13021330311113) and next prime (13021330311127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021330311127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2027925510 + ... + 2027931930.

Almost surely, 2^{13021330311120} is an apocalyptic number.

13021330311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021330311120 is an abundant number, since it is smaller than the sum of its proper divisors (27383307626544).

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

13021330311120 is a wasteful number, since it uses less digits than its factorization.

13021330311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13175 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13021330311120 its reverse (2111303312031), we get a palindrome (15132633623151).

Subtracting from 13021330311120 its reverse (2111303312031), we obtain a square (10910026999089 = 3303033²).

The spelling of 13021330311120 in words is "thirteen trillion, twenty-one billion, three hundred thirty million, three hundred eleven thousand, one hundred twenty".