321022313 has 2 divisors, whose sum is σ = 321022314. Its totient is φ = 321022312.

The previous prime is 321022291. The next prime is 321022319. The reversal of 321022313 is 313220123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215590489 + 105431824 = 14683^2 + 10268^2 .

It is an emirp because it is prime and its reverse (313220123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321022313 - 2¹⁰ = 321021289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321022291 and 321022300.

It is not a weakly prime, because it can be changed into another prime (321022319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160511156 + 160511157.

It is an arithmetic number, because the mean of its divisors is an integer number (160511157).

Almost surely, 2^321022313 is an apocalyptic number.

It is an amenable number.

321022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

321022313 is an equidigital number, since it uses as much as digits as its factorization.

321022313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 321022313 is about 17917.0955514559. The cubic root of 321022313 is about 684.7179921441.

Adding to 321022313 its reverse (313220123), we get a palindrome (634242436).

The spelling of 321022313 in words is "three hundred twenty-one million, twenty-two thousand, three hundred thirteen".