313141313 has 8 divisors (see below), whose sum is σ = 321974016. Its totient is φ = 304365600.

The previous prime is 313141303. The next prime is 313141327.

313141313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313141313 - 2²⁴ = 296364097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313141303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981 + ... + 25202.

It is an arithmetic number, because the mean of its divisors is an integer number (40246752).

Almost surely, 2^313141313 is an apocalyptic number.

It is an amenable number.

313141313 is a deficient number, since it is larger than the sum of its proper divisors (8832703).

313141313 is a wasteful number, since it uses less digits than its factorization.

313141313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28495.

The product of its digits is 324, while the sum is 20.

The square root of 313141313 is about 17695.7993037896. The cubic root of 313141313 is about 679.0682979734.

It can be divided in two parts, 3131 and 41313, that added together give a palindrome (44444).

The spelling of 313141313 in words is "three hundred thirteen million, one hundred forty-one thousand, three hundred thirteen".