321023313 has 12 divisors (see below), whose sum is σ = 499369780. Its totient is φ = 197552736.

The previous prime is 321023303. The next prime is 321023347. The reversal of 321023313 is 313320123.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 216001809 = 10248^2 + 14697^2 .

It is not a de Polignac number, because 321023313 - 2¹⁷ = 320892241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (321023303) 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 in 11 ways as a sum of consecutive naturals, for example, 1371778 + ... + 1372011.

Almost surely, 2^321023313 is an apocalyptic number.

It is an amenable number.

321023313 is a deficient number, since it is larger than the sum of its proper divisors (178346467).

321023313 is a wasteful number, since it uses less digits than its factorization.

321023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743808 (or 2743805 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 321023313 is about 17917.1234577429. The cubic root of 321023313 is about 684.7187031199.

Adding to 321023313 its reverse (313320123), we get a palindrome (634343436).

The spelling of 321023313 in words is "three hundred twenty-one million, twenty-three thousand, three hundred thirteen".