13210032120 has 64 divisors (see below), whose sum is σ = 39690289440. Its totient is φ = 3517324800.

The previous prime is 13210032061. The next prime is 13210032133. The reversal of 13210032120 is 2123001231.

13210032120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13210032120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13210032120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3951 + ... + 162590.

Almost surely, 2^13210032120 is an apocalyptic number.

13210032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210032120 is an abundant number, since it is smaller than the sum of its proper divisors (26480257320).

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

13210032120 is a wasteful number, since it uses less digits than its factorization.

13210032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167216 (or 167212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13210032120 its reverse (2123001231), we get a palindrome (15333033351).

The spelling of 13210032120 in words is "thirteen billion, two hundred ten million, thirty-two thousand, one hundred twenty".