13114132400400 has 120 divisors (see below), whose sum is σ = 42011909901984. Its totient is φ = 3496854528000.

The previous prime is 13114132400381. The next prime is 13114132400419. The reversal of 13114132400400 is 400423141131.

It is an interprime number because it is at equal distance from previous prime (13114132400381) and next prime (13114132400419).

It is a tau number, because it is divible by the number of its divisors (120).

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, 16901767 + ... + 17660633.

Almost surely, 2^{13114132400400} is an apocalyptic number.

13114132400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114132400400 is an abundant number, since it is smaller than the sum of its proper divisors (28897777501584).

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

13114132400400 is a wasteful number, since it uses less digits than its factorization.

13114132400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773289 (or 773278 counting only the distinct ones).

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

Adding to 13114132400400 its reverse (400423141131), we get a palindrome (13514555541531).

The spelling of 13114132400400 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-two million, four hundred thousand, four hundred".