321013002200257 has 2 divisors, whose sum is σ = 321013002200258. Its totient is φ = 321013002200256.

The previous prime is 321013002200171. The next prime is 321013002200281. The reversal of 321013002200257 is 752002200310123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304850342881296 + 16162659318961 = 17459964^2 + 4020281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321013002200257 is a prime.

It is not a weakly prime, because it can be changed into another prime (321013002209257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160506501100128 + 160506501100129.

It is an arithmetic number, because the mean of its divisors is an integer number (160506501100129).

Almost surely, 2^{321013002200257} is an apocalyptic number.

It is an amenable number.

321013002200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

321013002200257 is an equidigital number, since it uses as much as digits as its factorization.

321013002200257 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 28.

The spelling of 321013002200257 in words is "three hundred twenty-one trillion, thirteen billion, two million, two hundred thousand, two hundred fifty-seven".