313350013 has 2 divisors, whose sum is σ = 313350014. Its totient is φ = 313350012.

The previous prime is 313349969. The next prime is 313350029. The reversal of 313350013 is 310053313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311804964 + 1545049 = 17658^2 + 1243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313350013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313350053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156675006 + 156675007.

It is an arithmetic number, because the mean of its divisors is an integer number (156675007).

Almost surely, 2^313350013 is an apocalyptic number.

It is an amenable number.

313350013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313350013 is an equidigital number, since it uses as much as digits as its factorization.

313350013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 313350013 is about 17701.6952013077. The cubic root of 313350013 is about 679.2191245332.

The spelling of 313350013 in words is "three hundred thirteen million, three hundred fifty thousand, thirteen".