100100586713 has 2 divisors, whose sum is σ = 100100586714. Its totient is φ = 100100586712.

The previous prime is 100100586661. The next prime is 100100586739. The reversal of 100100586713 is 317685001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58221829264 + 41878757449 = 241292^2 + 204643^2 .

It is an emirp because it is prime and its reverse (317685001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100586713 - 2⁸ = 100100586457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100586713.

It is not a weakly prime, because it can be changed into another prime (100100585713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050293356 + 50050293357.

It is an arithmetic number, because the mean of its divisors is an integer number (50050293357).

Almost surely, 2^100100586713 is an apocalyptic number.

It is an amenable number.

100100586713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100586713 is an equidigital number, since it uses as much as digits as its factorization.

100100586713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

Adding to 100100586713 its reverse (317685001001), we get a palindrome (417785587714).

The spelling of 100100586713 in words is "one hundred billion, one hundred million, five hundred eighty-six thousand, seven hundred thirteen".