13110401200400 has 120 divisors (see below), whose sum is σ = 36092398777920. Its totient is φ = 4483134190080.

The previous prime is 13110401200397. The next prime is 13110401200411. The reversal of 13110401200400 is 400210401131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5115959 + ... + 7238358.

It is an arithmetic number, because the mean of its divisors is an integer number (300769989816).

Almost surely, 2^{13110401200400} is an apocalyptic number.

13110401200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110401200400 is an abundant number, since it is smaller than the sum of its proper divisors (22981997577520).

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

13110401200400 is a wasteful number, since it uses less digits than its factorization.

13110401200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354721 (or 12354710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13110401200400 its reverse (400210401131), we get a palindrome (13510611601531).

The spelling of 13110401200400 in words is "thirteen trillion, one hundred ten billion, four hundred one million, two hundred thousand, four hundred".