321420310430993 has 2 divisors, whose sum is σ = 321420310430994. Its totient is φ = 321420310430992.

The previous prime is 321420310430917. The next prime is 321420310431091. The reversal of 321420310430993 is 399034013024123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210181797531904 + 111238512899089 = 14497648^2 + 10546967^2 .

It is a cyclic number.

It is not a de Polignac number, because 321420310430993 - 2¹⁸ = 321420310168849 is a prime.

It is a super-2 number, since 2×321420310430993² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321420310430393) 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, 160710155215496 + 160710155215497.

It is an arithmetic number, because the mean of its divisors is an integer number (160710155215497).

Almost surely, 2^{321420310430993} is an apocalyptic number.

It is an amenable number.

321420310430993 is a deficient number, since it is larger than the sum of its proper divisors (1).

321420310430993 is an equidigital number, since it uses as much as digits as its factorization.

321420310430993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 321420310430993 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred ten million, four hundred thirty thousand, nine hundred ninety-three".