100209013 has 2 divisors, whose sum is σ = 100209014. Its totient is φ = 100209012.

The previous prime is 100209001. The next prime is 100209017. The reversal of 100209013 is 310902001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97574884 + 2634129 = 9878^2 + 1623^2 .

It is a cyclic number.

It is not a de Polignac number, because 100209013 - 2⁵ = 100208981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100209017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50104506 + 50104507.

It is an arithmetic number, because the mean of its divisors is an integer number (50104507).

Almost surely, 2^100209013 is an apocalyptic number.

It is an amenable number.

100209013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100209013 is an equidigital number, since it uses as much as digits as its factorization.

100209013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 100209013 is about 10010.4451948952. The cubic root of 100209013 is about 464.4820424532.

The spelling of 100209013 in words is "one hundred million, two hundred nine thousand, thirteen".