132113303311231 has 12 divisors (see below), whose sum is σ = 145308955707216. Its totient is φ = 120025666713920.

The previous prime is 132113303311043. The next prime is 132113303311247.

It is a happy number.

132113303311231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132113303311231 - 2⁹ = 132113303310719 is a prime.

It is a super-3 number, since 3×132113303311231³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132113303311231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113303311531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351339931 + ... + 351715756.

It is an arithmetic number, because the mean of its divisors is an integer number (12109079642268).

Almost surely, 2^{132113303311231} is an apocalyptic number.

132113303311231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132113303311231 is a deficient number, since it is larger than the sum of its proper divisors (13195652395985).

132113303311231 is a wasteful number, since it uses less digits than its factorization.

132113303311231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703057262 (or 703057251 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 13211330 and 3311231, that added together give a palindrome (16522561).

The spelling of 132113303311231 in words is "one hundred thirty-two trillion, one hundred thirteen billion, three hundred three million, three hundred eleven thousand, two hundred thirty-one".