312420313 has 2 divisors, whose sum is σ = 312420314. Its totient is φ = 312420312.

The previous prime is 312420259. The next prime is 312420331. The reversal of 312420313 is 313024213.

Together with next prime (312420331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159971904 + 152448409 = 12648^2 + 12347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312420313 is a prime.

It is not a weakly prime, because it can be changed into another prime (312420013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156210156 + 156210157.

It is an arithmetic number, because the mean of its divisors is an integer number (156210157).

Almost surely, 2^312420313 is an apocalyptic number.

It is an amenable number.

312420313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312420313 is an equidigital number, since it uses as much as digits as its factorization.

312420313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 312420313 is about 17675.4154972380. The cubic root of 312420313 is about 678.5467182327.

Adding to 312420313 its reverse (313024213), we get a palindrome (625444526).

The spelling of 312420313 in words is "three hundred twelve million, four hundred twenty thousand, three hundred thirteen".