313735313 has 2 divisors, whose sum is σ = 313735314. Its totient is φ = 313735312.

The previous prime is 313735291. The next prime is 313735333. The reversal of 313735313 is 313537313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158558464 + 155176849 = 12592^2 + 12457^2 .

It is a cyclic number.

It is not a de Polignac number, because 313735313 - 2¹² = 313731217 is a prime.

It is not a weakly prime, because it can be changed into another prime (313735333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156867656 + 156867657.

It is an arithmetic number, because the mean of its divisors is an integer number (156867657).

Almost surely, 2^313735313 is an apocalyptic number.

It is an amenable number.

313735313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313735313 is an equidigital number, since it uses as much as digits as its factorization.

313735313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 29.

The square root of 313735313 is about 17712.5749963126. The cubic root of 313735313 is about 679.4974032698.

The spelling of 313735313 in words is "three hundred thirteen million, seven hundred thirty-five thousand, three hundred thirteen".