113121113013 has 12 divisors (see below), whose sum is σ = 163684336140. Its totient is φ = 75281534016.

The previous prime is 113121112981. The next prime is 113121113033. The reversal of 113121113013 is 310311121311.

It can be written as a sum of positive squares in 2 ways, for example, as 54916172964 + 58204940049 = 234342^2 + 241257^2 .

It is not a de Polignac number, because 113121113013 - 2⁵ = 113121112981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121113033) 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, 11039706 + ... + 11049947.

It is an arithmetic number, because the mean of its divisors is an integer number (13640361345).

Almost surely, 2^113121113013 is an apocalyptic number.

It is an amenable number.

113121113013 is a deficient number, since it is larger than the sum of its proper divisors (50563223127).

113121113013 is a wasteful number, since it uses less digits than its factorization.

113121113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090228 (or 22090225 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113121113013 its reverse (310311121311), we get a palindrome (423432234324).

The spelling of 113121113013 in words is "one hundred thirteen billion, one hundred twenty-one million, one hundred thirteen thousand, thirteen".