135317713531 has 64 divisors (see below), whose sum is σ = 183728111616. Its totient is φ = 97044013440.

The previous prime is 135317713511. The next prime is 135317713543.

It is a happy number.

135317713531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135317713531 - 2¹¹ = 135317711483 is a prime.

It is a super-3 number, since 3×135317713531³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135317713501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46387885 + ... + 46390801.

It is an arithmetic number, because the mean of its divisors is an integer number (2870751744).

Almost surely, 2^135317713531 is an apocalyptic number.

135317713531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135317713531 is a deficient number, since it is larger than the sum of its proper divisors (48410398085).

135317713531 is a wasteful number, since it uses less digits than its factorization.

135317713531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3331 counting only the distinct ones).

The product of its digits is 99225, while the sum is 40.

It can be divided in two parts, 135317 and 713531, that added together give a palindrome (848848).

The spelling of 135317713531 in words is "one hundred thirty-five billion, three hundred seventeen million, seven hundred thirteen thousand, five hundred thirty-one".