100313013221 has 2 divisors, whose sum is σ = 100313013222. Its totient is φ = 100313013220.

The previous prime is 100313013193. The next prime is 100313013271. The reversal of 100313013221 is 122310313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92689802500 + 7623210721 = 304450^2 + 87311^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313013221 - 2²⁶ = 100245904357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100313013221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313013271) 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, 50156506610 + 50156506611.

It is an arithmetic number, because the mean of its divisors is an integer number (50156506611).

Almost surely, 2^100313013221 is an apocalyptic number.

It is an amenable number.

100313013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313013221 is an equidigital number, since it uses as much as digits as its factorization.

100313013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100313013221 its reverse (122310313001), we get a palindrome (222623326222).

The spelling of 100313013221 in words is "one hundred billion, three hundred thirteen million, thirteen thousand, two hundred twenty-one".