113102013112000 has 224 divisors, whose sum is σ = 308585887272000. Its totient is φ = 40720793600000.

The previous prime is 113102013111979. The next prime is 113102013112013. The reversal of 113102013112000 is 211310201311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2525376 + ... + 15250624.

Almost surely, 2^{113102013112000} is an apocalyptic number.

113102013112000 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 113102013112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154292943636000).

113102013112000 is an abundant number, since it is smaller than the sum of its proper divisors (195483874160000).

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

113102013112000 is a wasteful number, since it uses less digits than its factorization.

113102013112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725388 (or 12725368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113102013112000 its reverse (211310201311), we get a palindrome (113313323313311).

The spelling of 113102013112000 in words is "one hundred thirteen trillion, one hundred two billion, thirteen million, one hundred twelve thousand".