113012100992 has 256 divisors, whose sum is σ = 269782656000. Its totient is φ = 47120984064.

The previous prime is 113012100979. The next prime is 113012101009. The reversal of 113012100992 is 299001210311.

It is a super-3 number, since 3×113012100992³ (a number of 34 digits) contains 333 as substring.

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, 302981318 + ... + 302981690.

It is an arithmetic number, because the mean of its divisors is an integer number (1053838500).

Almost surely, 2^113012100992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113012100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134891328000).

113012100992 is an abundant number, since it is smaller than the sum of its proper divisors (156770555008).

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

113012100992 is an equidigital number, since it uses as much as digits as its factorization.

113012100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 113012100992 in words is "one hundred thirteen billion, twelve million, one hundred thousand, nine hundred ninety-two".