312211444112213 has 8 divisors (see below), whose sum is σ = 312262423528536. Its totient is φ = 312160468435200.

The previous prime is 312211444112207. The next prime is 312211444112371.

312211444112213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 114904528738609 + 197306915373604 = 10719353^2 + 14046598^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312211444112213 - 2⁶ = 312211444112149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312211444112213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312211444118213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168568145 + ... + 170410217.

It is an arithmetic number, because the mean of its divisors is an integer number (39032802941067).

Almost surely, 2^{312211444112213} is an apocalyptic number.

It is an amenable number.

312211444112213 is a deficient number, since it is larger than the sum of its proper divisors (50979416323).

312211444112213 is a wasteful number, since it uses less digits than its factorization.

312211444112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869655.

The product of its digits is 9216, while the sum is 32.

The spelling of 312211444112213 in words is "three hundred twelve trillion, two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, two hundred thirteen".