312340013 has 2 divisors, whose sum is σ = 312340014. Its totient is φ = 312340012.

The previous prime is 312340001. The next prime is 312340037. The reversal of 312340013 is 310043213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233875849 + 78464164 = 15293^2 + 8858^2 .

It is a cyclic number.

It is not a de Polignac number, because 312340013 - 2⁶ = 312339949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312339973 and 312340000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312340073) 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, 156170006 + 156170007.

It is an arithmetic number, because the mean of its divisors is an integer number (156170007).

Almost surely, 2^312340013 is an apocalyptic number.

It is an amenable number.

312340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312340013 is an equidigital number, since it uses as much as digits as its factorization.

312340013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 312340013 is about 17673.1438346436. The cubic root of 312340013 is about 678.4885786389.

Adding to 312340013 its reverse (310043213), we get a palindrome (622383226).

The spelling of 312340013 in words is "three hundred twelve million, three hundred forty thousand, thirteen".