312133000331213 has 2 divisors, whose sum is σ = 312133000331214. Its totient is φ = 312133000331212.

The previous prime is 312133000331183. The next prime is 312133000331233.

312133000331213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282895815723049 + 29237184608164 = 16819507^2 + 5407142^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312133000331213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312133000331233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066500165606 + 156066500165607.

It is an arithmetic number, because the mean of its divisors is an integer number (156066500165607).

Almost surely, 2^{312133000331213} is an apocalyptic number.

It is an amenable number.

312133000331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133000331213 is an equidigital number, since it uses as much as digits as its factorization.

312133000331213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 312133000 and 331213, that added together give a palindrome (312464213).

The spelling of 312133000331213 in words is "three hundred twelve trillion, one hundred thirty-three billion, three hundred thirty-one thousand, two hundred thirteen".