312133141331213 has 2 divisors, whose sum is σ = 312133141331214. Its totient is φ = 312133141331212.

The previous prime is 312133141331191. The next prime is 312133141331239.

312133141331213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239212096389289 + 72921044941924 = 15466483^2 + 8539382^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312133141331213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312133141331213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312133141331293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066570665606 + 156066570665607.

It is an arithmetic number, because the mean of its divisors is an integer number (156066570665607).

Almost surely, 2^{312133141331213} is an apocalyptic number.

It is an amenable number.

312133141331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133141331213 is an equidigital number, since it uses as much as digits as its factorization.

312133141331213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 32.

The spelling of 312133141331213 in words is "three hundred twelve trillion, one hundred thirty-three billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred thirteen".