102202012013 has 2 divisors, whose sum is σ = 102202012014. Its totient is φ = 102202012012.

The previous prime is 102202012001. The next prime is 102202012021. The reversal of 102202012013 is 310210202201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95319152644 + 6882859369 = 308738^2 + 82963^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202012013 - 2⁶ = 102202011949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202012093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101006006 + 51101006007.

It is an arithmetic number, because the mean of its divisors is an integer number (51101006007).

Almost surely, 2^102202012013 is an apocalyptic number.

It is an amenable number.

102202012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202012013 is an equidigital number, since it uses as much as digits as its factorization.

102202012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102202012013 its reverse (310210202201), we get a palindrome (412412214214).

The spelling of 102202012013 in words is "one hundred two billion, two hundred two million, twelve thousand, thirteen".