202100130013 has 2 divisors, whose sum is σ = 202100130014. Its totient is φ = 202100130012.

The previous prime is 202100129981. The next prime is 202100130019. The reversal of 202100130013 is 310031001202.

202100130013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176869031364 + 25231098649 = 420558^2 + 158843^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100130013 - 2⁵ = 202100129981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202100129975 and 202100130002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202100130019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101050065006 + 101050065007.

It is an arithmetic number, because the mean of its divisors is an integer number (101050065007).

Almost surely, 2^202100130013 is an apocalyptic number.

It is an amenable number.

202100130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100130013 is an equidigital number, since it uses as much as digits as its factorization.

202100130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 202100130013 its reverse (310031001202), we get a palindrome (512131131215).

The spelling of 202100130013 in words is "two hundred two billion, one hundred million, one hundred thirty thousand, thirteen".