13110513114400 has 144 divisors (see below), whose sum is σ = 34667285229864. Its totient is φ = 4812822650880.

The previous prime is 13110513114367. The next prime is 13110513114443. The reversal of 13110513114400 is 441131501131.

13110513114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 83986358416 + 13026526755984 = 289804^2 + 3609228^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1844229 + ... + 5442628.

Almost surely, 2^{13110513114400} is an apocalyptic number.

13110513114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110513114400 is an abundant number, since it is smaller than the sum of its proper divisors (21556772115464).

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

13110513114400 is a wasteful number, since it uses less digits than its factorization.

13110513114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287063 (or 7287050 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 13110513114400 its reverse (441131501131), we get a palindrome (13551644615531).

The spelling of 13110513114400 in words is "thirteen trillion, one hundred ten billion, five hundred thirteen million, one hundred fourteen thousand, four hundred".