113535040312331 has 48 divisors (see below), whose sum is σ = 127219862196000. Its totient is φ = 100483246080000.

The previous prime is 113535040312313. The next prime is 113535040312333. The reversal of 113535040312331 is 133213040535311.

It is not a de Polignac number, because 113535040312331 - 2³⁴ = 113517860443147 is a prime.

It is a super-2 number, since 2×113535040312331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113535040312291 and 113535040312300.

It is not an unprimeable number, because it can be changed into a prime (113535040312333) 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, 19571629631 + ... + 19571635431.

It is an arithmetic number, because the mean of its divisors is an integer number (2650413795750).

Almost surely, 2^{113535040312331} is an apocalyptic number.

113535040312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113535040312331 is a deficient number, since it is larger than the sum of its proper divisors (13684821883669).

113535040312331 is a wasteful number, since it uses less digits than its factorization.

113535040312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 113535040312331 its reverse (133213040535311), we get a palindrome (246748080847642).

The spelling of 113535040312331 in words is "one hundred thirteen trillion, five hundred thirty-five billion, forty million, three hundred twelve thousand, three hundred thirty-one".