113531121135311 has 48 divisors (see below), whose sum is σ = 129023124908160. Its totient is φ = 99768706171200.

The previous prime is 113531121135307. The next prime is 113531121135319.

113531121135311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113531121135311 - 2² = 113531121135307 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 (113531121135319) 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, 1586414216 + ... + 1586485778.

It is an arithmetic number, because the mean of its divisors is an integer number (2687981768920).

Almost surely, 2^{113531121135311} is an apocalyptic number.

113531121135311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113531121135311 is a deficient number, since it is larger than the sum of its proper divisors (15492003772849).

113531121135311 is a wasteful number, since it uses less digits than its factorization.

113531121135311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75348 (or 75337 counting only the distinct ones).

The product of its digits is 4050, while the sum is 32.

The spelling of 113531121135311 in words is "one hundred thirteen trillion, five hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-five thousand, three hundred eleven".