312432242234213 has 2 divisors, whose sum is σ = 312432242234214. Its totient is φ = 312432242234212.

The previous prime is 312432242234173. The next prime is 312432242234219.

312432242234213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312388409787169 + 43832447044 = 17674513^2 + 209362^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312432242234213 is a prime.

It is a super-2 number, since 2×312432242234213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312432242234219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156216121117106 + 156216121117107.

It is an arithmetic number, because the mean of its divisors is an integer number (156216121117107).

Almost surely, 2^{312432242234213} is an apocalyptic number.

It is an amenable number.

312432242234213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312432242234213 is an equidigital number, since it uses as much as digits as its factorization.

312432242234213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 331776, while the sum is 38.

The spelling of 312432242234213 in words is "three hundred twelve trillion, four hundred thirty-two billion, two hundred forty-two million, two hundred thirty-four thousand, two hundred thirteen".