313413121 has 16 divisors (see below), whose sum is σ = 371174400. Its totient is φ = 258931008.

The previous prime is 313413109. The next prime is 313413127. The reversal of 313413121 is 121314313.

It is not a de Polignac number, because 313413121 - 2⁷ = 313412993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313413127) 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, 174295 + ... + 176083.

It is an arithmetic number, because the mean of its divisors is an integer number (23198400).

Almost surely, 2^313413121 is an apocalyptic number.

It is an amenable number.

313413121 is a deficient number, since it is larger than the sum of its proper divisors (57761279).

313413121 is a wasteful number, since it uses less digits than its factorization.

313413121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688.

The product of its digits is 216, while the sum is 19.

The square root of 313413121 is about 17703.4776527099. The cubic root of 313413121 is about 679.2647192159.

Adding to 313413121 its reverse (121314313), we get a palindrome (434727434).

It can be divided in two parts, 313413 and 121, that multiplied together give a palindrome (37922973).

The spelling of 313413121 in words is "three hundred thirteen million, four hundred thirteen thousand, one hundred twenty-one".