210000010013 has 2 divisors, whose sum is σ = 210000010014. Its totient is φ = 210000010012.

The previous prime is 210000009997. The next prime is 210000010067. The reversal of 210000010013 is 310010000012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152379368164 + 57620641849 = 390358^2 + 240043^2 .

It is a cyclic number.

It is not a de Polignac number, because 210000010013 - 2⁴ = 210000009997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210000010813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105000005006 + 105000005007.

It is an arithmetic number, because the mean of its divisors is an integer number (105000005007).

Almost surely, 2^210000010013 is an apocalyptic number.

It is an amenable number.

210000010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210000010013 is an equidigital number, since it uses as much as digits as its factorization.

210000010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 210000010013 its reverse (310010000012), we get a palindrome (520010010025).

The spelling of 210000010013 in words is "two hundred ten billion, ten thousand, thirteen".