321123313 has 24 divisors (see below), whose sum is σ = 396364320. Its totient is φ = 258672960.

The previous prime is 321123307. The next prime is 321123349. The reversal of 321123313 is 313321123.

321123313 = T₄₈₂ + T₄₈₃ + ... + T₁₂₆₇.

It is not a de Polignac number, because 321123313 - 2⁵ = 321123281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (321126313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120645 + ... + 123277.

It is an arithmetic number, because the mean of its divisors is an integer number (16515180).

Almost surely, 2^321123313 is an apocalyptic number.

It is an amenable number.

321123313 is a deficient number, since it is larger than the sum of its proper divisors (75241007).

321123313 is a wasteful number, since it uses less digits than its factorization.

321123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2790 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 321123313 is about 17919.9138669805. The cubic root of 321123313 is about 684.7897932444.

Adding to 321123313 its reverse (313321123), we get a palindrome (634444436).

The spelling of 321123313 in words is "three hundred twenty-one million, one hundred twenty-three thousand, three hundred thirteen".