313113303 has 32 divisors (see below), whose sum is σ = 471960000. Its totient is φ = 205134336.

The previous prime is 313113289. The next prime is 313113323. The reversal of 313113303 is 303311313.

It is not a de Polignac number, because 313113303 - 2⁴ = 313113287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313113323) 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 31 ways as a sum of consecutive naturals, for example, 550003 + ... + 550571.

It is an arithmetic number, because the mean of its divisors is an integer number (14748750).

Almost surely, 2^313113303 is an apocalyptic number.

313113303 is a deficient number, since it is larger than the sum of its proper divisors (158846697).

313113303 is a wasteful number, since it uses less digits than its factorization.

313113303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 313113303 is about 17695.0078553246. The cubic root of 313113303 is about 679.0480501711.

Adding to 313113303 its reverse (303311313), we get a palindrome (616424616).

The spelling of 313113303 in words is "three hundred thirteen million, one hundred thirteen thousand, three hundred three".