312021030013013 has 2 divisors, whose sum is σ = 312021030013014. Its totient is φ = 312021030013012.

The previous prime is 312021030012997. The next prime is 312021030013027. The reversal of 312021030013013 is 310310030120213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311882063593489 + 138966419524 = 17660183^2 + 372782^2 .

It is an emirp because it is prime and its reverse (310310030120213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312021030013013 - 2⁴ = 312021030012997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312021030018013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156010515006506 + 156010515006507.

It is an arithmetic number, because the mean of its divisors is an integer number (156010515006507).

Almost surely, 2^{312021030013013} is an apocalyptic number.

It is an amenable number.

312021030013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312021030013013 is an equidigital number, since it uses as much as digits as its factorization.

312021030013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312021030013013 its reverse (310310030120213), we get a palindrome (622331060133226).

The spelling of 312021030013013 in words is "three hundred twelve trillion, twenty-one billion, thirty million, thirteen thousand, thirteen".