321321220322209 has 2 divisors, whose sum is σ = 321321220322210. Its totient is φ = 321321220322208.

The previous prime is 321321220322183. The next prime is 321321220322261. The reversal of 321321220322209 is 902223022123123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313345651271184 + 7975569051025 = 17701572^2 + 2824105^2 .

It is a cyclic number.

It is not a de Polignac number, because 321321220322209 - 2⁹ = 321321220321697 is a prime.

It is not a weakly prime, because it can be changed into another prime (321321220320209) 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, 160660610161104 + 160660610161105.

It is an arithmetic number, because the mean of its divisors is an integer number (160660610161105).

Almost surely, 2^{321321220322209} is an apocalyptic number.

It is an amenable number.

321321220322209 is a deficient number, since it is larger than the sum of its proper divisors (1).

321321220322209 is an equidigital number, since it uses as much as digits as its factorization.

321321220322209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 321321220322209 in words is "three hundred twenty-one trillion, three hundred twenty-one billion, two hundred twenty million, three hundred twenty-two thousand, two hundred nine".