102132333000313 has 64 divisors (see below), whose sum is σ = 133161704755200. Its totient is φ = 77611506739200.

The previous prime is 102132333000301. The next prime is 102132333000349. The reversal of 102132333000313 is 313000333231201.

It is not a de Polignac number, because 102132333000313 - 2²⁹ = 102131796129401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102132333000013) 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, 103504156 + ... + 104486242.

It is an arithmetic number, because the mean of its divisors is an integer number (2080651636800).

Almost surely, 2^{102132333000313} is an apocalyptic number.

It is an amenable number.

102132333000313 is a deficient number, since it is larger than the sum of its proper divisors (31029371754887).

102132333000313 is an equidigital number, since it uses as much as digits as its factorization.

102132333000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982803 (or 982789 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 102132333000313 its reverse (313000333231201), we get a palindrome (415132666231514).

The spelling of 102132333000313 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred thirteen", and thus it is an aban number.