13121333204400 has 90 divisors (see below), whose sum is σ = 45534671046540. Its totient is φ = 3499022186880.

The previous prime is 13121333204393. The next prime is 13121333204411. The reversal of 13121333204400 is 440233312131.

It is a happy number.

13121333204400 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 3 + 33 + 204 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1822403790 + ... + 1822410989.

It is an arithmetic number, because the mean of its divisors is an integer number (505940789406).

Almost surely, 2^{13121333204400} is an apocalyptic number.

13121333204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121333204400 is an abundant number, since it is smaller than the sum of its proper divisors (32413337842140).

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

13121333204400 is a wasteful number, since it uses less digits than its factorization.

13121333204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644814803 (or 3644814789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13121333204400 its reverse (440233312131), we get a palindrome (13561566516531).

The spelling of 13121333204400 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty-three million, two hundred four thousand, four hundred".