132314020413231 has 64 divisors (see below), whose sum is σ = 188649099878400. Its totient is φ = 82366987622400.

The previous prime is 132314020413217. The next prime is 132314020413293.

132314020413231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132314020413231 - 2¹⁹ = 132314019888943 is a prime.

It is a super-2 number, since 2×132314020413231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132314020417231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96753355 + ... + 98111363.

It is an arithmetic number, because the mean of its divisors is an integer number (2947642185600).

Almost surely, 2^{132314020413231} is an apocalyptic number.

132314020413231 is a deficient number, since it is larger than the sum of its proper divisors (56335079465169).

132314020413231 is a wasteful number, since it uses less digits than its factorization.

132314020413231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358440.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 132314020413231 in words is "one hundred thirty-two trillion, three hundred fourteen billion, twenty million, four hundred thirteen thousand, two hundred thirty-one".