321321312329 has 2 divisors, whose sum is σ = 321321312330. Its totient is φ = 321321312328.

The previous prime is 321321312293. The next prime is 321321312359. The reversal of 321321312329 is 923213123123.

Together with previous prime (321321312293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195211097929 + 126110214400 = 441827^2 + 355120^2 .

It is an emirp because it is prime and its reverse (923213123123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321321312329 - 2²⁸ = 321052876873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321321312295 and 321321312304.

It is not a weakly prime, because it can be changed into another prime (321321312359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160660656164 + 160660656165.

It is an arithmetic number, because the mean of its divisors is an integer number (160660656165).

Almost surely, 2^321321312329 is an apocalyptic number.

It is an amenable number.

321321312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

321321312329 is an equidigital number, since it uses as much as digits as its factorization.

321321312329 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 321321312329 in words is "three hundred twenty-one billion, three hundred twenty-one million, three hundred twelve thousand, three hundred twenty-nine".