13110402314400 has 144 divisors (see below), whose sum is σ = 42729858864000. Its totient is φ = 3491560488960.

The previous prime is 13110402314327. The next prime is 13110402314423. The reversal of 13110402314400 is 441320401131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706200 + ... + 5397399.

It is an arithmetic number, because the mean of its divisors is an integer number (296735131000).

Almost surely, 2^{13110402314400} is an apocalyptic number.

13110402314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110402314400 is an abundant number, since it is smaller than the sum of its proper divisors (29619456549600).

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

13110402314400 is a wasteful number, since it uses less digits than its factorization.

13110402314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104391 (or 7104378 counting only the distinct ones).

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

Adding to 13110402314400 its reverse (441320401131), we get a palindrome (13551722715531).

The spelling of 13110402314400 in words is "thirteen trillion, one hundred ten billion, four hundred two million, three hundred fourteen thousand, four hundred".