13121112363800 has 96 divisors (see below), whose sum is σ = 34925096183520. Its totient is φ = 4490870169600.

The previous prime is 13121112363781. The next prime is 13121112363803. The reversal of 13121112363800 is 836321112131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121112363803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7313711 + ... + 8929310.

It is an arithmetic number, because the mean of its divisors is an integer number (363803085245).

Almost surely, 2^{13121112363800} is an apocalyptic number.

13121112363800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121112363800 is an abundant number, since it is smaller than the sum of its proper divisors (21803983819720).

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

13121112363800 is a wasteful number, since it uses less digits than its factorization.

13121112363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16243621 (or 16243612 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

Adding to 13121112363800 its reverse (836321112131), we get a palindrome (13957433475931).

The spelling of 13121112363800 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twelve million, three hundred sixty-three thousand, eight hundred".