313146113 has 12 divisors (see below), whose sum is σ = 365203332. Its totient is φ = 267724800.

The previous prime is 313146091. The next prime is 313146121. The reversal of 313146113 is 311641313.

It can be written as a sum of positive squares in 2 ways, for example, as 278489344 + 34656769 = 16688^2 + 5887^2 .

It is not a de Polignac number, because 313146113 - 2¹⁰ = 313145089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313146193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11681 + ... + 27617.

It is an arithmetic number, because the mean of its divisors is an integer number (30433611).

Almost surely, 2^313146113 is an apocalyptic number.

It is an amenable number.

313146113 is a deficient number, since it is larger than the sum of its proper divisors (52057219).

313146113 is a wasteful number, since it uses less digits than its factorization.

313146113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16352 (or 16345 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 313146113 is about 17695.9349286778. The cubic root of 313146113 is about 679.0717676648.

Adding to 313146113 its reverse (311641313), we get a palindrome (624787426).

The spelling of 313146113 in words is "three hundred thirteen million, one hundred forty-six thousand, one hundred thirteen".