312211444118213 has 2 divisors, whose sum is σ = 312211444118214. Its totient is φ = 312211444118212.

The previous prime is 312211444118179. The next prime is 312211444118279. The reversal of 312211444118213 is 312811444112213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190573110451684 + 121638333666529 = 13804822^2 + 11028977^2 .

It is an emirp because it is prime and its reverse (312811444112213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312211444118213 - 2⁸ = 312211444117957 is a prime.

It is a super-3 number, since 3×312211444118213³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312211444118513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105722059106 + 156105722059107.

It is an arithmetic number, because the mean of its divisors is an integer number (156105722059107).

Almost surely, 2^{312211444118213} is an apocalyptic number.

It is an amenable number.

312211444118213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211444118213 is an equidigital number, since it uses as much as digits as its factorization.

312211444118213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36864, while the sum is 38.

The spelling of 312211444118213 in words is "three hundred twelve trillion, two hundred eleven billion, four hundred forty-four million, one hundred eighteen thousand, two hundred thirteen".