312534242435213 has 2 divisors, whose sum is σ = 312534242435214. Its totient is φ = 312534242435212.

The previous prime is 312534242435203. The next prime is 312534242435321.

312534242435213 is nontrivially palindromic in base 10.

Together with next prime (312534242435321) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286903533903529 + 25630708531684 = 16938227^2 + 5062678^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312534242435213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312534242435203) 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, 156267121217606 + 156267121217607.

It is an arithmetic number, because the mean of its divisors is an integer number (156267121217607).

Almost surely, 2^{312534242435213} is an apocalyptic number.

It is an amenable number.

312534242435213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312534242435213 is an equidigital number, since it uses as much as digits as its factorization.

312534242435213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2073600, while the sum is 44.

The spelling of 312534242435213 in words is "three hundred twelve trillion, five hundred thirty-four billion, two hundred forty-two million, four hundred thirty-five thousand, two hundred thirteen".