320032313 has 16 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 295357440.

The previous prime is 320032289. The next prime is 320032319. The reversal of 320032313 is 313230023.

It is a cyclic number.

It is not a de Polignac number, because 320032313 - 2¹⁴ = 320015929 is a prime.

It is a super-3 number, since 3×320032313³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320032291 and 320032300.

It is not an unprimeable number, because it can be changed into a prime (320032319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72473 + ... + 76761.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2^320032313 is an apocalyptic number.

It is an amenable number.

320032313 is a deficient number, since it is larger than the sum of its proper divisors (25913287).

320032313 is a wasteful number, since it uses less digits than its factorization.

320032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 320032313 is about 17889.4469730062. The cubic root of 320032313 is about 684.0134005844.

Adding to 320032313 its reverse (313230023), we get a palindrome (633262336).

The spelling of 320032313 in words is "three hundred twenty million, thirty-two thousand, three hundred thirteen".