1002100013 has 2 divisors, whose sum is σ = 1002100014. Its totient is φ = 1002100012.

The previous prime is 1002100007. The next prime is 1002100031. The reversal of 1002100013 is 3100012001.

Together with next prime (1002100031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 722641924 + 279458089 = 26882^2 + 16717^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002100013 - 2⁴ = 1002099997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002100313) 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, 501050006 + 501050007.

It is an arithmetic number, because the mean of its divisors is an integer number (501050007).

Almost surely, 2^1002100013 is an apocalyptic number.

It is an amenable number.

1002100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002100013 is an equidigital number, since it uses as much as digits as its factorization.

1002100013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1002100013 is about 31655.9633086722. The cubic root of 1002100013 is about 1000.6995148981.

Adding to 1002100013 its reverse (3100012001), we get a palindrome (4102112014).

The spelling of 1002100013 in words is "one billion, two million, one hundred thousand, thirteen".