212212313 has 2 divisors, whose sum is σ = 212212314. Its totient is φ = 212212312.

The previous prime is 212212307. The next prime is 212212331. The reversal of 212212313 is 313212212.

Together with next prime (212212331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150872089 + 61340224 = 12283^2 + 7832^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212313 - 2¹⁶ = 212146777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212212291 and 212212300.

It is not a weakly prime, because it can be changed into another prime (212212213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106156 + 106106157.

It is an arithmetic number, because the mean of its divisors is an integer number (106106157).

Almost surely, 2^212212313 is an apocalyptic number.

It is an amenable number.

212212313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212313 is an equidigital number, since it uses as much as digits as its factorization.

212212313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 17.

The square root of 212212313 is about 14567.5088124223. The cubic root of 212212313 is about 596.4721805438.

Adding to 212212313 its reverse (313212212), we get a palindrome (525424525).

The spelling of 212212313 in words is "two hundred twelve million, two hundred twelve thousand, three hundred thirteen".