102202120033313 has 16 divisors (see below), whose sum is σ = 108672913509120. Its totient is φ = 95900772437184.

The previous prime is 102202120033297. The next prime is 102202120033379. The reversal of 102202120033313 is 313330021202201.

It is a cyclic number.

It is not a de Polignac number, because 102202120033313 - 2⁴ = 102202120033297 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202120038313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013220 + ... + 14611082.

It is an arithmetic number, because the mean of its divisors is an integer number (6792057094320).

Almost surely, 2^{102202120033313} is an apocalyptic number.

It is an amenable number.

102202120033313 is a deficient number, since it is larger than the sum of its proper divisors (6470793475807).

102202120033313 is a wasteful number, since it uses less digits than its factorization.

102202120033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11605168.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102202120033313 its reverse (313330021202201), we get a palindrome (415532141235514).

The spelling of 102202120033313 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, thirty-three thousand, three hundred thirteen".