313057201 has 2 divisors, whose sum is σ = 313057202. Its totient is φ = 313057200.

The previous prime is 313057141. The next prime is 313057211. The reversal of 313057201 is 102750313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312440976 + 616225 = 17676^2 + 785^2 .

It is an emirp because it is prime and its reverse (102750313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313057201 is a prime.

It is a super-3 number, since 3×313057201³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (313057211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156528600 + 156528601.

It is an arithmetic number, because the mean of its divisors is an integer number (156528601).

Almost surely, 2^313057201 is an apocalyptic number.

It is an amenable number.

313057201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313057201 is an equidigital number, since it uses as much as digits as its factorization.

313057201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 313057201 is about 17693.4225349422. The cubic root of 313057201 is about 679.0074916589.

The spelling of 313057201 in words is "three hundred thirteen million, fifty-seven thousand, two hundred one".