321301223020249 has 2 divisors, whose sum is σ = 321301223020250. Its totient is φ = 321301223020248.

The previous prime is 321301223020067. The next prime is 321301223020321. The reversal of 321301223020249 is 942020322103123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308668636585024 + 12632586435225 = 17568968^2 + 3554235^2 .

It is a cyclic number.

It is not a de Polignac number, because 321301223020249 - 2³⁷ = 321163784066777 is a prime.

It is not a weakly prime, because it can be changed into another prime (321301223020549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160650611510124 + 160650611510125.

It is an arithmetic number, because the mean of its divisors is an integer number (160650611510125).

Almost surely, 2^{321301223020249} is an apocalyptic number.

It is an amenable number.

321301223020249 is a deficient number, since it is larger than the sum of its proper divisors (1).

321301223020249 is an equidigital number, since it uses as much as digits as its factorization.

321301223020249 is an evil number, because the sum of its binary digits is even.

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

The spelling of 321301223020249 in words is "three hundred twenty-one trillion, three hundred one billion, two hundred twenty-three million, twenty thousand, two hundred forty-nine".