321004113331361 has 2 divisors, whose sum is σ = 321004113331362. Its totient is φ = 321004113331360.

The previous prime is 321004113331327. The next prime is 321004113331367. The reversal of 321004113331361 is 163133311400123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292842995374336 + 28161117957025 = 17112656^2 + 5306705^2 .

It is a cyclic number.

It is not a de Polignac number, because 321004113331361 - 2¹⁰ = 321004113330337 is a prime.

It is a super-2 number, since 2×321004113331361² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321004113331367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160502056665680 + 160502056665681.

It is an arithmetic number, because the mean of its divisors is an integer number (160502056665681).

Almost surely, 2^{321004113331361} is an apocalyptic number.

It is an amenable number.

321004113331361 is a deficient number, since it is larger than the sum of its proper divisors (1).

321004113331361 is an equidigital number, since it uses as much as digits as its factorization.

321004113331361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 321004113331361 its reverse (163133311400123), we get a palindrome (484137424731484).

The spelling of 321004113331361 in words is "three hundred twenty-one trillion, four billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred sixty-one".