132013002130331 has 24 divisors (see below), whose sum is σ = 160246980198144. Its totient is φ = 108231529837200.

The previous prime is 132013002130301. The next prime is 132013002130379. The reversal of 132013002130331 is 133031200310231.

It is not a de Polignac number, because 132013002130331 - 2⁴² = 127614955619227 is a prime.

It is a super-2 number, since 2×132013002130331² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 132013002130297 and 132013002130306.

It is not an unprimeable number, because it can be changed into a prime (132013002130301) 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 23 ways as a sum of consecutive naturals, for example, 43791476 + ... + 46708878.

It is an arithmetic number, because the mean of its divisors is an integer number (6676957508256).

Almost surely, 2^{132013002130331} is an apocalyptic number.

132013002130331 is a deficient number, since it is larger than the sum of its proper divisors (28233978067813).

132013002130331 is a wasteful number, since it uses less digits than its factorization.

132013002130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957591 (or 2957584 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132013002130331 its reverse (133031200310231), we get a palindrome (265044202440562).

The spelling of 132013002130331 in words is "one hundred thirty-two trillion, thirteen billion, two million, one hundred thirty thousand, three hundred thirty-one".