13120031002200 has 192 divisors, whose sum is σ = 41366822592000. Its totient is φ = 3439300400640.

The previous prime is 13120031002159. The next prime is 13120031002237. The reversal of 13120031002200 is 220013002131.

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 13120031002200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10250247 + ... + 11458953.

It is an arithmetic number, because the mean of its divisors is an integer number (215452201000).

Almost surely, 2^{13120031002200} is an apocalyptic number.

13120031002200 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 13120031002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20683411296000).

13120031002200 is an abundant number, since it is smaller than the sum of its proper divisors (28246791589800).

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

13120031002200 is a wasteful number, since it uses less digits than its factorization.

13120031002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209034 (or 1209025 counting only the distinct ones).

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

Adding to 13120031002200 its reverse (220013002131), we get a palindrome (13340044004331).

The spelling of 13120031002200 in words is "thirteen trillion, one hundred twenty billion, thirty-one million, two thousand, two hundred".