312330313 has 2 divisors, whose sum is σ = 312330314. Its totient is φ = 312330312.

The previous prime is 312330287. The next prime is 312330323. The reversal of 312330313 is 313033213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285373449 + 26956864 = 16893^2 + 5192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312330313 is a prime.

It is not a weakly prime, because it can be changed into another prime (312330323) 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, 156165156 + 156165157.

It is an arithmetic number, because the mean of its divisors is an integer number (156165157).

Almost surely, 2^312330313 is an apocalyptic number.

It is an amenable number.

312330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312330313 is an equidigital number, since it uses as much as digits as its factorization.

312330313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 312330313 is about 17672.8694048250. The cubic root of 312330313 is about 678.4815548752.

Adding to 312330313 its reverse (313033213), we get a palindrome (625363526).

It can be divided in two parts, 312 and 330313, that added together give a square (330625 = 575²).

The spelling of 312330313 in words is "three hundred twelve million, three hundred thirty thousand, three hundred thirteen".