31531144113513 has 48 divisors (see below), whose sum is σ = 51041339534016. Its totient is φ = 18588548373120.

The previous prime is 31531144113487. The next prime is 31531144113527.

31531144113513 is a `hidden beast` number, since 3 + 1 + 531 + 1 + 4 + 4 + 113 + 5 + 1 + 3 = 666.

31531144113513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31531144113513 - 2⁴⁴ = 13938958069097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31531144113583) 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, 13249170 + ... + 15446772.

It is an arithmetic number, because the mean of its divisors is an integer number (1063361240292).

Almost surely, 2^{31531144113513} is an apocalyptic number.

31531144113513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31531144113513 is a deficient number, since it is larger than the sum of its proper divisors (19510195420503).

31531144113513 is a wasteful number, since it uses less digits than its factorization.

31531144113513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201574 (or 2201571 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 3153114 and 4113513, that added together give a palindrome (7266627).

The spelling of 31531144113513 in words is "thirty-one trillion, five hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, five hundred thirteen".