100580713 has 2 divisors, whose sum is σ = 100580714. Its totient is φ = 100580712.

The previous prime is 100580707. The next prime is 100580717. The reversal of 100580713 is 317085001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85433049 + 15147664 = 9243^2 + 3892^2 .

It is an emirp because it is prime and its reverse (317085001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100580713 - 2⁵ = 100580681 is a prime.

It is not a weakly prime, because it can be changed into another prime (100580717) 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, 50290356 + 50290357.

It is an arithmetic number, because the mean of its divisors is an integer number (50290357).

Almost surely, 2^100580713 is an apocalyptic number.

It is an amenable number.

100580713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100580713 is an equidigital number, since it uses as much as digits as its factorization.

100580713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 100580713 is about 10028.9936185043. The cubic root of 100580713 is about 465.0556267518.

It can be divided in two parts, 1005 and 80713, that added together give a palindrome (81718).

The spelling of 100580713 in words is "one hundred million, five hundred eighty thousand, seven hundred thirteen".