313040313 has 24 divisors (see below), whose sum is σ = 473178888. Its totient is φ = 199210752.

The previous prime is 313040293. The next prime is 313040339.

313040313 = 3392² + 3393² + ... + 3418².

313040313 is a `hidden beast` number, since 313 + 0 + 40 + 313 = 666.

313040313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 205979904 + 107060409 = 14352^2 + 10347^2 .

It is not a de Polignac number, because 313040313 - 2¹⁰ = 313039289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313040383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8781 + ... + 26517.

It is an arithmetic number, because the mean of its divisors is an integer number (19715787).

Almost surely, 2^313040313 is an apocalyptic number.

It is an amenable number.

313040313 is a deficient number, since it is larger than the sum of its proper divisors (160138575).

313040313 is a wasteful number, since it uses less digits than its factorization.

313040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17833 (or 17830 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313040313 is about 17692.9452890128. The cubic root of 313040313 is about 678.9952816594.

The spelling of 313040313 in words is "three hundred thirteen million, forty thousand, three hundred thirteen".