13321214120400 has 60 divisors (see below), whose sum is σ = 42672289236192. Its totient is φ = 3552323765120.

The previous prime is 13321214120377. The next prime is 13321214120447. The reversal of 13321214120400 is 402141212331.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5550504684 + ... + 5550507083.

Almost surely, 2^{13321214120400} is an apocalyptic number.

13321214120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321214120400 is an abundant number, since it is smaller than the sum of its proper divisors (29351075115792).

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

13321214120400 is a wasteful number, since it uses less digits than its factorization.

13321214120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101011788 (or 11101011777 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13321214120400 its reverse (402141212331), we get a palindrome (13723355332731).

The spelling of 13321214120400 in words is "thirteen trillion, three hundred twenty-one billion, two hundred fourteen million, one hundred twenty thousand, four hundred".