113013113319 has 6 divisors (see below), whose sum is σ = 163241163696. Its totient is φ = 75342075540.

The previous prime is 113013113299. The next prime is 113013113321. The reversal of 113013113319 is 913311310311.

113013113319 is a `hidden beast` number, since 1 + 1 + 30 + 1 + 311 + 3 + 319 = 666.

It is not a de Polignac number, because 113013113319 - 2⁵ = 113013113287 is a prime.

It is a super-2 number, since 2×113013113319² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113013113292 and 113013113301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013213319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6278506287 + ... + 6278506304.

It is an arithmetic number, because the mean of its divisors is an integer number (27206860616).

Almost surely, 2^113013113319 is an apocalyptic number.

113013113319 is a deficient number, since it is larger than the sum of its proper divisors (50228050377).

113013113319 is a wasteful number, since it uses less digits than its factorization.

113013113319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12557012597 (or 12557012594 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 113013113319 in words is "one hundred thirteen billion, thirteen million, one hundred thirteen thousand, three hundred nineteen".