113101312122 has 128 divisors (see below), whose sum is σ = 267221606400. Its totient is φ = 35359322688.

The previous prime is 113101312109. The next prime is 113101312147. The reversal of 113101312122 is 221213101311.

113101312122 is a `hidden beast` number, since 11 + 310 + 131 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113101312095 and 113101312104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47460543 + ... + 47462925.

It is an arithmetic number, because the mean of its divisors is an integer number (2087668800).

Almost surely, 2^113101312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113101312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133610803200).

113101312122 is an abundant number, since it is smaller than the sum of its proper divisors (154120294278).

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

113101312122 is a wasteful number, since it uses less digits than its factorization.

113101312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113101312122 its reverse (221213101311), we get a palindrome (334314413433).

The spelling of 113101312122 in words is "one hundred thirteen billion, one hundred one million, three hundred twelve thousand, one hundred twenty-two".