13131431122400 has 72 divisors (see below), whose sum is σ = 32067077419440. Its totient is φ = 5250938664960.

The previous prime is 13131431122391. The next prime is 13131431122441. The reversal of 13131431122400 is 422113413131.

13131431122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13131431122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22421 + ... + 5124779.

It is an arithmetic number, because the mean of its divisors is an integer number (445376075270).

Almost surely, 2^{13131431122400} is an apocalyptic number.

13131431122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131431122400 is an abundant number, since it is smaller than the sum of its proper divisors (18935646297040).

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

13131431122400 is a wasteful number, since it uses less digits than its factorization.

13131431122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105596 (or 5105583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13131431122400 its reverse (422113413131), we get a palindrome (13553544535531).

The spelling of 13131431122400 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty-one million, one hundred twenty-two thousand, four hundred".