312131320213 has 2 divisors, whose sum is σ = 312131320214. Its totient is φ = 312131320212.

The previous prime is 312131320187. The next prime is 312131320231. The reversal of 312131320213 is 312023131213.

Together with next prime (312131320231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295334641809 + 16796678404 = 543447^2 + 129602^2 .

It is an emirp because it is prime and its reverse (312023131213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312131320213 is a prime.

It is a super-2 number, since 2×312131320213² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131320253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065660106 + 156065660107.

It is an arithmetic number, because the mean of its divisors is an integer number (156065660107).

Almost surely, 2^312131320213 is an apocalyptic number.

It is an amenable number.

312131320213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131320213 is an equidigital number, since it uses as much as digits as its factorization.

312131320213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312131320213 its reverse (312023131213), we get a palindrome (624154451426).

The spelling of 312131320213 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred twenty thousand, two hundred thirteen".