113617716311 has 12 divisors (see below), whose sum is σ = 126173082336. Its totient is φ = 102223989120.

The previous prime is 113617716301. The next prime is 113617716349.

113617716311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113617716311 - 2¹⁴ = 113617699927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113617716301) 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 11 ways as a sum of consecutive naturals, for example, 4828415 + ... + 4851888.

It is an arithmetic number, because the mean of its divisors is an integer number (10514423528).

Almost surely, 2^113617716311 is an apocalyptic number.

113617716311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113617716311 is a deficient number, since it is larger than the sum of its proper divisors (12555366025).

113617716311 is an equidigital number, since it uses as much as digits as its factorization.

113617716311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680422 (or 9680411 counting only the distinct ones).

The product of its digits is 15876, while the sum is 38.

It can be divided in two parts, 113617 and 716311, that added together give a palindrome (829928).

The spelling of 113617716311 in words is "one hundred thirteen billion, six hundred seventeen million, seven hundred sixteen thousand, three hundred eleven".