13112100322400 has 72 divisors (see below), whose sum is σ = 32011960790880. Its totient is φ = 5244504911360.

The previous prime is 13112100322357. The next prime is 13112100322411. The reversal of 13112100322400 is 422300121131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12193766 + ... + 13225434.

It is an arithmetic number, because the mean of its divisors is an integer number (444610566540).

Almost surely, 2^{13112100322400} is an apocalyptic number.

13112100322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112100322400 is an abundant number, since it is smaller than the sum of its proper divisors (18899860468480).

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

13112100322400 is a wasteful number, since it uses less digits than its factorization.

13112100322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047576 (or 1047563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13112100322400 its reverse (422300121131), we get a palindrome (13534400443531).

The spelling of 13112100322400 in words is "thirteen trillion, one hundred twelve billion, one hundred million, three hundred twenty-two thousand, four hundred".