13112514110400 has 168 divisors, whose sum is σ = 45284182817280. Its totient is φ = 3312635120640.

The previous prime is 13112514110387. The next prime is 13112514110413. The reversal of 13112514110400 is 401141521131.

It is an interprime number because it is at equal distance from previous prime (13112514110387) and next prime (13112514110413).

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 23 ways as a sum of consecutive naturals, for example, 71797584 + ... + 71979983.

Almost surely, 2^{13112514110400} is an apocalyptic number.

13112514110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112514110400 is an abundant number, since it is smaller than the sum of its proper divisors (32171668706880).

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

13112514110400 is a wasteful number, since it uses less digits than its factorization.

13112514110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143777611 (or 143777596 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 13112514110400 its reverse (401141521131), we get a palindrome (13513655631531).

The spelling of 13112514110400 in words is "thirteen trillion, one hundred twelve billion, five hundred fourteen million, one hundred ten thousand, four hundred".