100910100013 has 2 divisors, whose sum is σ = 100910100014. Its totient is φ = 100910100012.

The previous prime is 100910099999. The next prime is 100910100101. The reversal of 100910100013 is 310001019001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75253108329 + 25656991684 = 274323^2 + 160178^2 .

It is a cyclic number.

It is not a de Polignac number, because 100910100013 - 2⁹ = 100910099501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100910100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100910100413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50455050006 + 50455050007.

It is an arithmetic number, because the mean of its divisors is an integer number (50455050007).

Almost surely, 2^100910100013 is an apocalyptic number.

It is an amenable number.

100910100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100910100013 is an equidigital number, since it uses as much as digits as its factorization.

100910100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 100910100013 its reverse (310001019001), we get a palindrome (410911119014).

The spelling of 100910100013 in words is "one hundred billion, nine hundred ten million, one hundred thousand, thirteen".