312211242110213 has 2 divisors, whose sum is σ = 312211242110214. Its totient is φ = 312211242110212.

The previous prime is 312211242110197. The next prime is 312211242110227. The reversal of 312211242110213 is 312011242112213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290330860653604 + 21880381456609 = 17039098^2 + 4677647^2 .

It is a cyclic number.

It is not a de Polignac number, because 312211242110213 - 2⁴ = 312211242110197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312211242110413) 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, 156105621055106 + 156105621055107.

It is an arithmetic number, because the mean of its divisors is an integer number (156105621055107).

Almost surely, 2^{312211242110213} is an apocalyptic number.

It is an amenable number.

312211242110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211242110213 is an equidigital number, since it uses as much as digits as its factorization.

312211242110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 312211242110213 its reverse (312011242112213), we get a palindrome (624222484222426).

The spelling of 312211242110213 in words is "three hundred twelve trillion, two hundred eleven billion, two hundred forty-two million, one hundred ten thousand, two hundred thirteen".