10112313134400 has 84 divisors (see below), whose sum is σ = 33176814024192. Its totient is φ = 2696616834560.

The previous prime is 10112313134381. The next prime is 10112313134401. The reversal of 10112313134400 is 443131321101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112313134401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1053361152 + ... + 1053370751.

Almost surely, 2^{10112313134400} is an apocalyptic number.

10112313134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112313134400 is an abundant number, since it is smaller than the sum of its proper divisors (23064500889792).

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

10112313134400 is a wasteful number, since it uses less digits than its factorization.

10112313134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106731928 (or 2106731913 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10112313134400 its reverse (443131321101), we get a palindrome (10555444455501).

The spelling of 10112313134400 in words is "ten trillion, one hundred twelve billion, three hundred thirteen million, one hundred thirty-four thousand, four hundred".