113514415311 has 16 divisors (see below), whose sum is σ = 165122749440. Its totient is φ = 68792085120.

The previous prime is 113514415297. The next prime is 113514415331.

113514415311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113514415311 - 2⁶ = 113514415247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113514415331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435106 + ... + 645248.

It is an arithmetic number, because the mean of its divisors is an integer number (10320171840).

Almost surely, 2^113514415311 is an apocalyptic number.

113514415311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113514415311 is a deficient number, since it is larger than the sum of its proper divisors (51608334129).

113514415311 is a wasteful number, since it uses less digits than its factorization.

113514415311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226526.

The product of its digits is 3600, while the sum is 30.

It can be divided in two parts, 113514 and 415311, that added together give a palindrome (528825).

The spelling of 113514415311 in words is "one hundred thirteen billion, five hundred fourteen million, four hundred fifteen thousand, three hundred eleven".