132122100310113 has 64 divisors (see below), whose sum is σ = 183499295616000. Its totient is φ = 84489862682880.

The previous prime is 132122100310093. The next prime is 132122100310133. The reversal of 132122100310113 is 311013001221231.

It is an interprime number because it is at equal distance from previous prime (132122100310093) and next prime (132122100310133).

It is not a de Polignac number, because 132122100310113 - 2²⁵ = 132122066755681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132122100310113.

It is not an unprimeable number, because it can be changed into a prime (132122100310133) 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, 12788892358 + ... + 12788902688.

It is an arithmetic number, because the mean of its divisors is an integer number (2867176494000).

Almost surely, 2^{132122100310113} is an apocalyptic number.

It is an amenable number.

132122100310113 is a deficient number, since it is larger than the sum of its proper divisors (51377195305887).

132122100310113 is a wasteful number, since it uses less digits than its factorization.

132122100310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16222.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 132122100310113 its reverse (311013001221231), we get a palindrome (443135101531344).

The spelling of 132122100310113 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred million, three hundred ten thousand, one hundred thirteen".