313010393 has 2 divisors, whose sum is σ = 313010394. Its totient is φ = 313010392.

The previous prime is 313010377. The next prime is 313010407. The reversal of 313010393 is 393010313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310041664 + 2968729 = 17608^2 + 1723^2 .

It is an emirp because it is prime and its reverse (393010313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313010393 - 2⁴ = 313010377 is a prime.

It is a super-2 number, since 2×313010393² = 195951012252028898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313010333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505196 + 156505197.

It is an arithmetic number, because the mean of its divisors is an integer number (156505197).

Almost surely, 2^313010393 is an apocalyptic number.

It is an amenable number.

313010393 is a deficient number, since it is larger than the sum of its proper divisors (1).

313010393 is an equidigital number, since it uses as much as digits as its factorization.

313010393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

The square root of 313010393 is about 17692.0997340621. The cubic root of 313010393 is about 678.9736484648.

The spelling of 313010393 in words is "three hundred thirteen million, ten thousand, three hundred ninety-three".