313868313 has 36 divisors (see below), whose sum is σ = 500192784. Its totient is φ = 189512400.

The previous prime is 313868311. The next prime is 313868323.

313868313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313868313 - 2¹ = 313868311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313868311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534406 + ... + 534992.

It is an arithmetic number, because the mean of its divisors is an integer number (13894244).

Almost surely, 2^313868313 is an apocalyptic number.

313868313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313868313 is a deficient number, since it is larger than the sum of its proper divisors (186324471).

313868313 is a wasteful number, since it uses less digits than its factorization.

313868313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 313868313 is about 17716.3289933327. The cubic root of 313868313 is about 679.5934081753.

The spelling of 313868313 in words is "three hundred thirteen million, eight hundred sixty-eight thousand, three hundred thirteen".