132013323310231 has 24 divisors (see below), whose sum is σ = 145338613479360. Its totient is φ = 119819383485120.

The previous prime is 132013323310189. The next prime is 132013323310247.

It is a happy number.

132013323310231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132013323310231 - 2²⁹ = 132012786439319 is a prime.

It is a super-3 number, since 3×132013323310231³ (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 132013323310231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013323310031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206394786 + ... + 1206504208.

It is an arithmetic number, because the mean of its divisors is an integer number (6055775561640).

Almost surely, 2^{132013323310231} is an apocalyptic number.

132013323310231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132013323310231 is a deficient number, since it is larger than the sum of its proper divisors (13325290169129).

132013323310231 is a wasteful number, since it uses less digits than its factorization.

132013323310231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125367 (or 125356 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 132013323310231 in words is "one hundred thirty-two trillion, thirteen billion, three hundred twenty-three million, three hundred ten thousand, two hundred thirty-one".