102000202013 has 2 divisors, whose sum is σ = 102000202014. Its totient is φ = 102000202012.

The previous prime is 102000202001. The next prime is 102000202021. The reversal of 102000202013 is 310202000201.

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., 99569909209 + 2430292804 = 315547^2 + 49298^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000202013 - 2¹⁴ = 102000185629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000201985 and 102000202003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000202033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000101006 + 51000101007.

It is an arithmetic number, because the mean of its divisors is an integer number (51000101007).

Almost surely, 2^102000202013 is an apocalyptic number.

It is an amenable number.

102000202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000202013 is an equidigital number, since it uses as much as digits as its factorization.

102000202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 102000202013 its reverse (310202000201), we get a palindrome (412202202214).

The spelling of 102000202013 in words is "one hundred two billion, two hundred two thousand, thirteen".