312012313 has 2 divisors, whose sum is σ = 312012314. Its totient is φ = 312012312.

The previous prime is 312012307. The next prime is 312012329. The reversal of 312012313 is 313210213.

It is an a-pointer prime, because the next prime (312012329) can be obtained adding 312012313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303735184 + 8277129 = 17428^2 + 2877^2 .

It is an emirp because it is prime and its reverse (313210213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312012313 - 2⁹ = 312011801 is a prime.

It is not a weakly prime, because it can be changed into another prime (312012383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156006156 + 156006157.

It is an arithmetic number, because the mean of its divisors is an integer number (156006157).

Almost surely, 2^312012313 is an apocalyptic number.

It is an amenable number.

312012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312012313 is an equidigital number, since it uses as much as digits as its factorization.

312012313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 312012313 is about 17663.8702723950. The cubic root of 312012313 is about 678.2512107048.

Adding to 312012313 its reverse (313210213), we get a palindrome (625222526).

The spelling of 312012313 in words is "three hundred twelve million, twelve thousand, three hundred thirteen".