312220323322213 has 2 divisors, whose sum is σ = 312220323322214. Its totient is φ = 312220323322212.

The previous prime is 312220323322199. The next prime is 312220323322231. The reversal of 312220323322213 is 312223323022213.

Together with next prime (312220323322231) 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., 268671503004804 + 43548820317409 = 16391202^2 + 6599153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312220323322213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312220323328213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110161661106 + 156110161661107.

It is an arithmetic number, because the mean of its divisors is an integer number (156110161661107).

Almost surely, 2^{312220323322213} is an apocalyptic number.

It is an amenable number.

312220323322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312220323322213 is an equidigital number, since it uses as much as digits as its factorization.

312220323322213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 312220323322213 its reverse (312223323022213), we get a palindrome (624443646344426).

The spelling of 312220323322213 in words is "three hundred twelve trillion, two hundred twenty billion, three hundred twenty-three million, three hundred twenty-two thousand, two hundred thirteen".