13513655631531 has 32 divisors (see below), whose sum is σ = 19718853700608. Its totient is φ = 8164039451040.

The previous prime is 13513655631523. The next prime is 13513655631589.

13513655631531 is nontrivially palindromic in base 10.

13513655631531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13513655631531 - 2³ = 13513655631523 is a prime.

It is a super-2 number, since 2×13513655631531² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13513655631031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13085380 + ... + 14080286.

It is an arithmetic number, because the mean of its divisors is an integer number (616214178144).

Almost surely, 2^{13513655631531} is an apocalyptic number.

13513655631531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13513655631531 is a deficient number, since it is larger than the sum of its proper divisors (6205198069077).

13513655631531 is a wasteful number, since it uses less digits than its factorization.

13513655631531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996231.

The product of its digits is 1822500, while the sum is 48.

It can be divided in two parts, 1351365 and 5631531, that added together give a palindrome (6982896).

The spelling of 13513655631531 in words is "thirteen trillion, five hundred thirteen billion, six hundred fifty-five million, six hundred thirty-one thousand, five hundred thirty-one".