13131322113200 has 120 divisors (see below), whose sum is σ = 34054814772000. Its totient is φ = 4850911098880.

The previous prime is 13131322113191. The next prime is 13131322113227. The reversal of 13131322113200 is 231122313131.

It is a super-2 number, since 2×13131322113200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24342125 + ... + 24875724.

It is an arithmetic number, because the mean of its divisors is an integer number (283790123100).

Almost surely, 2^{13131322113200} is an apocalyptic number.

13131322113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131322113200 is an abundant number, since it is smaller than the sum of its proper divisors (20923492658800).

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

13131322113200 is a wasteful number, since it uses less digits than its factorization.

13131322113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49217919 (or 49217908 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13131322113200 its reverse (231122313131), we get a palindrome (13362444426331).

The spelling of 13131322113200 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred".