313133193 has 12 divisors (see below), whose sum is σ = 453916788. Its totient is φ = 208010880.

The previous prime is 313133189. The next prime is 313133209. The reversal of 313133193 is 391331313.

It is a happy number.

313133193 is a `hidden beast` number, since 31 + 313 + 319 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 232349049 = 8988^2 + 15243^2 .

It is not a de Polignac number, because 313133193 - 2² = 313133189 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313133123) 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, 59380 + ... + 64437.

It is an arithmetic number, because the mean of its divisors is an integer number (37826399).

Almost surely, 2^313133193 is an apocalyptic number.

It is an amenable number.

313133193 is a deficient number, since it is larger than the sum of its proper divisors (140783595).

313133193 is a wasteful number, since it uses less digits than its factorization.

313133193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124104 (or 124101 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 313133193 is about 17695.5698693204. The cubic root of 313133193 is about 679.0624283314.

The spelling of 313133193 in words is "three hundred thirteen million, one hundred thirty-three thousand, one hundred ninety-three".