213021330101 has 2 divisors, whose sum is σ = 213021330102. Its totient is φ = 213021330100.

The previous prime is 213021330091. The next prime is 213021330157. The reversal of 213021330101 is 101033120312.

213021330101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208528309201 + 4493020900 = 456649^2 + 67030^2 .

It is a cyclic number.

It is not a de Polignac number, because 213021330101 - 2¹⁰ = 213021329077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213021330101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213021330001) 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, 106510665050 + 106510665051.

It is an arithmetic number, because the mean of its divisors is an integer number (106510665051).

Almost surely, 2^213021330101 is an apocalyptic number.

It is an amenable number.

213021330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213021330101 is an equidigital number, since it uses as much as digits as its factorization.

213021330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213021330101 its reverse (101033120312), we get a palindrome (314054450413).

The spelling of 213021330101 in words is "two hundred thirteen billion, twenty-one million, three hundred thirty thousand, one hundred one".