2100130013 has 2 divisors, whose sum is σ = 2100130014. Its totient is φ = 2100130012.

The previous prime is 2100130007. The next prime is 2100130051. The reversal of 2100130013 is 3100310012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2099289124 + 840889 = 45818^2 + 917^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100130013 - 2²⁰ = 2099081437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100129976 and 2100130003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100130913) 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, 1050065006 + 1050065007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050065007).

Almost surely, 2^2100130013 is an apocalyptic number.

It is an amenable number.

2100130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100130013 is an equidigital number, since it uses as much as digits as its factorization.

2100130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2100130013 is about 45827.1754857312. The cubic root of 2100130013 is about 1280.6055917340.

Adding to 2100130013 its reverse (3100310012), we get a palindrome (5200440025).

The spelling of 2100130013 in words is "two billion, one hundred million, one hundred thirty thousand, thirteen".