212000212313 has 2 divisors, whose sum is σ = 212000212314. Its totient is φ = 212000212312.

The previous prime is 212000212301. The next prime is 212000212327. The reversal of 212000212313 is 313212000212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127297676944 + 84702535369 = 356788^2 + 291037^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000212313 - 2⁴ = 212000212297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212000212291 and 212000212300.

It is not a weakly prime, because it can be changed into another prime (212000212013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000106156 + 106000106157.

It is an arithmetic number, because the mean of its divisors is an integer number (106000106157).

Almost surely, 2^212000212313 is an apocalyptic number.

It is an amenable number.

212000212313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000212313 is an equidigital number, since it uses as much as digits as its factorization.

212000212313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212000212313 its reverse (313212000212), we get a palindrome (525212212525).

The spelling of 212000212313 in words is "two hundred twelve billion, two hundred twelve thousand, three hundred thirteen".