13116311531631 has 192 divisors, whose sum is σ = 25235710156800. Its totient is φ = 6363405619200.

The previous prime is 13116311531563. The next prime is 13116311531639. The reversal of 13116311531631 is 13613511361131.

13116311531631 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 3 + 1 + 15 + 3 + 1 + 631 = 666.

It is not a de Polignac number, because 13116311531631 - 2¹⁵ = 13116311498863 is a prime.

It is a super-2 number, since 2×13116311531631² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13116311531639) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1779927315 + ... + 1779934683.

It is an arithmetic number, because the mean of its divisors is an integer number (131435990400).

Almost surely, 2^{13116311531631} is an apocalyptic number.

13116311531631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13116311531631 is a deficient number, since it is larger than the sum of its proper divisors (12119398625169).

13116311531631 is a wasteful number, since it uses less digits than its factorization.

13116311531631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310 (or 10307 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

Adding to 13116311531631 its reverse (13613511361131), we get a palindrome (26729822892762).

The spelling of 13116311531631 in words is "thirteen trillion, one hundred sixteen billion, three hundred eleven million, five hundred thirty-one thousand, six hundred thirty-one".