313300313 has 2 divisors, whose sum is σ = 313300314. Its totient is φ = 313300312.

The previous prime is 313300307. The next prime is 313300343. The reversal of 313300313 is 313003313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313042249 + 258064 = 17693^2 + 508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313300313 is a prime.

It is a super-2 number, since 2×313300313² = 196314172251795938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313300291 and 313300300.

It is not a weakly prime, because it can be changed into another prime (313300303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156650156 + 156650157.

It is an arithmetic number, because the mean of its divisors is an integer number (156650157).

Almost surely, 2^313300313 is an apocalyptic number.

It is an amenable number.

313300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313300313 is an equidigital number, since it uses as much as digits as its factorization.

313300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 313300313 is about 17700.2913252861. The cubic root of 313300313 is about 679.1832126413.

Adding to 313300313 its reverse (313003313), we get a palindrome (626303626).

The spelling of 313300313 in words is "three hundred thirteen million, three hundred thousand, three hundred thirteen".