909100013 has 2 divisors, whose sum is σ = 909100014. Its totient is φ = 909100012.

The previous prime is 909099977. The next prime is 909100021. The reversal of 909100013 is 310001909.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 629106724 + 279993289 = 25082^2 + 16733^2 .

It is a cyclic number.

It is not a de Polignac number, because 909100013 - 2¹² = 909095917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (903100013) 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, 454550006 + 454550007.

It is an arithmetic number, because the mean of its divisors is an integer number (454550007).

Almost surely, 2^909100013 is an apocalyptic number.

It is an amenable number.

909100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

909100013 is an equidigital number, since it uses as much as digits as its factorization.

909100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 909100013 is about 30151.2854286513. The cubic root of 909100013 is about 968.7325398560.

The spelling of 909100013 in words is "nine hundred nine million, one hundred thousand, thirteen".