312210321113357 has 2 divisors, whose sum is σ = 312210321113358. Its totient is φ = 312210321113356.

The previous prime is 312210321113323. The next prime is 312210321113461. The reversal of 312210321113357 is 753311123012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292839504402916 + 19370816710441 = 17112554^2 + 4401229^2 .

It is an emirp because it is prime and its reverse (753311123012213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312210321113357 - 2³⁶ = 312141601636621 is a prime.

It is a super-3 number, since 3×312210321113357³ (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 (312210321113057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105160556678 + 156105160556679.

It is an arithmetic number, because the mean of its divisors is an integer number (156105160556679).

Almost surely, 2^{312210321113357} is an apocalyptic number.

It is an amenable number.

312210321113357 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210321113357 is an equidigital number, since it uses as much as digits as its factorization.

312210321113357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 312210321113357 in words is "three hundred twelve trillion, two hundred ten billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred fifty-seven".