113514505415311 has 48 divisors (see below), whose sum is σ = 155086167749184. Its totient is φ = 80840390400000.

The previous prime is 113514505415281. The next prime is 113514505415317.

113514505415311 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-113514505415311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113514505415317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49923490 + ... + 52147711.

It is an arithmetic number, because the mean of its divisors is an integer number (3230961828108).

Almost surely, 2^{113514505415311} is an apocalyptic number.

113514505415311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113514505415311 is a deficient number, since it is larger than the sum of its proper divisors (41571662333873).

113514505415311 is a wasteful number, since it uses less digits than its factorization.

113514505415311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102071344 (or 102071333 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

It can be divided in two parts, 11351450 and 5415311, that added together give a palindrome (16766761).

The spelling of 113514505415311 in words is "one hundred thirteen trillion, five hundred fourteen billion, five hundred five million, four hundred fifteen thousand, three hundred eleven".