113102112000 has 288 divisors, whose sum is σ = 380838407040. Its totient is φ = 29745561600.

The previous prime is 113102111933. The next prime is 113102112017. The reversal of 113102112000 is 211201311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6999931 + ... + 7016069.

It is an arithmetic number, because the mean of its divisors is an integer number (1322355580).

Almost surely, 2^113102112000 is an apocalyptic number.

113102112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190419203520).

113102112000 is an abundant number, since it is smaller than the sum of its proper divisors (267736295040).

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

113102112000 is an equidigital number, since it uses as much as digits as its factorization.

113102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16246 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 113102112000 its reverse (211201311), we get a palindrome (113313313311).

The spelling of 113102112000 in words is "one hundred thirteen billion, one hundred two million, one hundred twelve thousand".