212130121013 has 2 divisors, whose sum is σ = 212130121014. Its totient is φ = 212130121012.

The previous prime is 212130121001. The next prime is 212130121019. The reversal of 212130121013 is 310121031212.

212130121013 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., 200827667044 + 11302453969 = 448138^2 + 106313^2 .

It is a cyclic number.

It is not a de Polignac number, because 212130121013 - 2¹² = 212130116917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212130120982 and 212130121000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212130121019) 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, 106065060506 + 106065060507.

It is an arithmetic number, because the mean of its divisors is an integer number (106065060507).

Almost surely, 2^212130121013 is an apocalyptic number.

It is an amenable number.

212130121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212130121013 is an equidigital number, since it uses as much as digits as its factorization.

212130121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212130121013 its reverse (310121031212), we get a palindrome (522251152225).

The spelling of 212130121013 in words is "two hundred twelve billion, one hundred thirty million, one hundred twenty-one thousand, thirteen".