320303313 has 48 divisors (see below), whose sum is σ = 530509824. Its totient is φ = 184330080.

The previous prime is 320303299. The next prime is 320303317. The reversal of 320303313 is 313303023.

320303313 is a `hidden beast` number, since 320 + 30 + 3 + 313 = 666.

It is not a de Polignac number, because 320303313 - 2⁵ = 320303281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (320303317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370720 + ... + 371582.

It is an arithmetic number, because the mean of its divisors is an integer number (11052288).

Almost surely, 2^320303313 is an apocalyptic number.

320303313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320303313 is a deficient number, since it is larger than the sum of its proper divisors (210206511).

320303313 is a wasteful number, since it uses less digits than its factorization.

320303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 320303313 is about 17897.0196680900. The cubic root of 320303313 is about 684.2064178999.

Adding to 320303313 its reverse (313303023), we get a palindrome (633606336).

The spelling of 320303313 in words is "three hundred twenty million, three hundred three thousand, three hundred thirteen".