102331132113321 has 20 divisors (see below), whose sum is σ = 156996511668612. Its totient is φ = 66376950558048.

The previous prime is 102331132113293. The next prime is 102331132113347. The reversal of 102331132113321 is 123311231133201.

102331132113321 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 1 + 1 + 321 + 1 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69275658240000 + 33055473873321 = 8323200^2 + 5749389^2 .

It is not a de Polignac number, because 102331132113321 - 2⁶ = 102331132113257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102331132123321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17072257950 + ... + 17072263943.

Almost surely, 2^{102331132113321} is an apocalyptic number.

It is an amenable number.

102331132113321 is a deficient number, since it is larger than the sum of its proper divisors (54665379555291).

102331132113321 is an equidigital number, since it uses as much as digits as its factorization.

102331132113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34144521942 (or 34144521933 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 102331132113321 its reverse (123311231133201), we get a palindrome (225642363246522).

The spelling of 102331132113321 in words is "one hundred two trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred twenty-one".