321001313329 has 2 divisors, whose sum is σ = 321001313330. Its totient is φ = 321001313328.

The previous prime is 321001313291. The next prime is 321001313363. The reversal of 321001313329 is 923313100123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306323506225 + 14677807104 = 553465^2 + 121152^2 .

It is an emirp because it is prime and its reverse (923313100123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321001313329 - 2¹³ = 321001305137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321001313297 and 321001313306.

It is not a weakly prime, because it can be changed into another prime (321001313029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160500656664 + 160500656665.

It is an arithmetic number, because the mean of its divisors is an integer number (160500656665).

Almost surely, 2^321001313329 is an apocalyptic number.

It is an amenable number.

321001313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

321001313329 is an equidigital number, since it uses as much as digits as its factorization.

321001313329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 321001313329 in words is "three hundred twenty-one billion, one million, three hundred thirteen thousand, three hundred twenty-nine".