132100312122313 has 16 divisors (see below), whose sum is σ = 132513534504000. Its totient is φ = 131687487771840.

The previous prime is 132100312122277. The next prime is 132100312122343. The reversal of 132100312122313 is 313221213001231.

It is a cyclic number.

It is not a de Polignac number, because 132100312122313 - 2³³ = 132091722187721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132100312122343) 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 15 ways as a sum of consecutive naturals, for example, 8444683870 + ... + 8444699512.

It is an arithmetic number, because the mean of its divisors is an integer number (8282095906500).

Almost surely, 2^{132100312122313} is an apocalyptic number.

It is an amenable number.

132100312122313 is a deficient number, since it is larger than the sum of its proper divisors (413222381687).

132100312122313 is a wasteful number, since it uses less digits than its factorization.

132100312122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26712.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 132100312122313 its reverse (313221213001231), we get a palindrome (445321525123544).

The spelling of 132100312122313 in words is "one hundred thirty-two trillion, one hundred billion, three hundred twelve million, one hundred twenty-two thousand, three hundred thirteen".