212013212321 has 2 divisors, whose sum is σ = 212013212322. Its totient is φ = 212013212320.

The previous prime is 212013212287. The next prime is 212013212347. The reversal of 212013212321 is 123212310212.

212013212321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211986576400 + 26635921 = 460420^2 + 5161^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013212321 - 2¹⁴ = 212013195937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212013212293 and 212013212302.

It is not a weakly prime, because it can be changed into another prime (212013218321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006606160 + 106006606161.

It is an arithmetic number, because the mean of its divisors is an integer number (106006606161).

Almost surely, 2^212013212321 is an apocalyptic number.

It is an amenable number.

212013212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013212321 is an equidigital number, since it uses as much as digits as its factorization.

212013212321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212013212321 its reverse (123212310212), we get a palindrome (335225522533).

The spelling of 212013212321 in words is "two hundred twelve billion, thirteen million, two hundred twelve thousand, three hundred twenty-one".