10113114400400 has 60 divisors (see below), whose sum is σ = 26505553480944. Its totient is φ = 3677496144000.

The previous prime is 10113114400387. The next prime is 10113114400421. The reversal of 10113114400400 is 400441131101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1149213146 + ... + 1149221945.

Almost surely, 2^{10113114400400} is an apocalyptic number.

10113114400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113114400400 is an abundant number, since it is smaller than the sum of its proper divisors (16392439080544).

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

10113114400400 is a wasteful number, since it uses less digits than its factorization.

10113114400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298435120 (or 2298435109 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10113114400400 its reverse (400441131101), we get a palindrome (10513555531501).

The spelling of 10113114400400 in words is "ten trillion, one hundred thirteen billion, one hundred fourteen million, four hundred thousand, four hundred".