313133617 has 2 divisors, whose sum is σ = 313133618. Its totient is φ = 313133616.

The previous prime is 313133603. The next prime is 313133629. The reversal of 313133617 is 716331313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301682161 + 11451456 = 17369^2 + 3384^2 .

It is a cyclic number.

It is not a de Polignac number, because 313133617 - 2¹⁹ = 312609329 is a prime.

It is not a weakly prime, because it can be changed into another prime (313133657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566808 + 156566809.

It is an arithmetic number, because the mean of its divisors is an integer number (156566809).

Almost surely, 2^313133617 is an apocalyptic number.

It is an amenable number.

313133617 is a deficient number, since it is larger than the sum of its proper divisors (1).

313133617 is an equidigital number, since it uses as much as digits as its factorization.

313133617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

The square root of 313133617 is about 17695.5818497160. The cubic root of 313133617 is about 679.0627348275.

The spelling of 313133617 in words is "three hundred thirteen million, one hundred thirty-three thousand, six hundred seventeen".