312033013 has 2 divisors, whose sum is σ = 312033014. Its totient is φ = 312033012.

The previous prime is 312032989. The next prime is 312033017. The reversal of 312033013 is 310330213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224011089 + 88021924 = 14967^2 + 9382^2 .

It is an emirp because it is prime and its reverse (310330213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312033013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312033017) 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, 156016506 + 156016507.

It is an arithmetic number, because the mean of its divisors is an integer number (156016507).

Almost surely, 2^312033013 is an apocalyptic number.

It is an amenable number.

312033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033013 is an equidigital number, since it uses as much as digits as its factorization.

312033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 312033013 is about 17664.4562044802. The cubic root of 312033013 is about 678.2662095676.

Adding to 312033013 its reverse (310330213), we get a palindrome (622363226).

The spelling of 312033013 in words is "three hundred twelve million, thirty-three thousand, thirteen".