312203444302213 has 8 divisors (see below), whose sum is σ = 316416612266136. Its totient is φ = 308012277216000.

The previous prime is 312203444302177. The next prime is 312203444302249.

312203444302213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312203444302177) and next prime (312203444302249).

It can be written as a sum of positive squares in 4 ways, for example, as 236611861489249 + 75591582812964 = 15382193^2 + 8694342^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312203444302213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312203444309213) 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, 5500190856 + ... + 5500247617.

It is an arithmetic number, because the mean of its divisors is an integer number (39552076533267).

Almost surely, 2^{312203444302213} is an apocalyptic number.

It is an amenable number.

312203444302213 is a deficient number, since it is larger than the sum of its proper divisors (4213167963923).

312203444302213 is a wasteful number, since it uses less digits than its factorization.

312203444302213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000438855.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 312203444302213 in words is "three hundred twelve trillion, two hundred three billion, four hundred forty-four million, three hundred two thousand, two hundred thirteen".