113020331319 has 32 divisors (see below), whose sum is σ = 191384640000. Its totient is φ = 64573777152.

The previous prime is 113020331279. The next prime is 113020331377. The reversal of 113020331319 is 913133020311.

113020331319 is a `hidden beast` number, since 1 + 13 + 0 + 2 + 0 + 331 + 319 = 666.

It is not a de Polignac number, because 113020331319 - 2¹² = 113020327223 is a prime.

It is a super-2 number, since 2×113020331319² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113020331292 and 113020331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113020331219) 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 31 ways as a sum of consecutive naturals, for example, 1406572 + ... + 1484750.

It is an arithmetic number, because the mean of its divisors is an integer number (5980770000).

Almost surely, 2^113020331319 is an apocalyptic number.

113020331319 is a deficient number, since it is larger than the sum of its proper divisors (78364308681).

113020331319 is an equidigital number, since it uses as much as digits as its factorization.

113020331319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85844 (or 85838 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 113020331319 in words is "one hundred thirteen billion, twenty million, three hundred thirty-one thousand, three hundred nineteen".