321003630064081 has 2 divisors, whose sum is σ = 321003630064082. Its totient is φ = 321003630064080.

The previous prime is 321003630064003. The next prime is 321003630064093. The reversal of 321003630064081 is 180460036300123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234987929027856 + 86015701036225 = 15329316^2 + 9274465^2 .

It is a cyclic number.

It is not a de Polignac number, because 321003630064081 - 2²⁵ = 321003596509649 is a prime.

It is a super-2 number, since 2×321003630064081² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 321003630064081.

It is not a weakly prime, because it can be changed into another prime (321003660064081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160501815032040 + 160501815032041.

It is an arithmetic number, because the mean of its divisors is an integer number (160501815032041).

Almost surely, 2^{321003630064081} is an apocalyptic number.

It is an amenable number.

321003630064081 is a deficient number, since it is larger than the sum of its proper divisors (1).

321003630064081 is an equidigital number, since it uses as much as digits as its factorization.

321003630064081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 321003630064081 in words is "three hundred twenty-one trillion, three billion, six hundred thirty million, sixty-four thousand, eighty-one".