212131212313 has 2 divisors, whose sum is σ = 212131212314. Its totient is φ = 212131212312.

The previous prime is 212131212311. The next prime is 212131212329. The reversal of 212131212313 is 313212131212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175194984969 + 36936227344 = 418563^2 + 192188^2 .

It is a cyclic number.

It is not a de Polignac number, because 212131212313 - 2¹ = 212131212311 is a prime.

Together with 212131212311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212131212311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106065606156 + 106065606157.

It is an arithmetic number, because the mean of its divisors is an integer number (106065606157).

Almost surely, 2^212131212313 is an apocalyptic number.

It is an amenable number.

212131212313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212131212313 is an equidigital number, since it uses as much as digits as its factorization.

212131212313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 212131212313 its reverse (313212131212), we get a palindrome (525343343525).

The spelling of 212131212313 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred twelve thousand, three hundred thirteen".