21133302213217 has 2 divisors, whose sum is σ = 21133302213218. Its totient is φ = 21133302213216.

The previous prime is 21133302213209. The next prime is 21133302213239. The reversal of 21133302213217 is 71231220333112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16337044531921 + 4796257681296 = 4041911^2 + 2190036^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133302213217 - 2³ = 21133302213209 is a prime.

It is not a weakly prime, because it can be changed into another prime (21133302213817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566651106608 + 10566651106609.

It is an arithmetic number, because the mean of its divisors is an integer number (10566651106609).

Almost surely, 2^{21133302213217} is an apocalyptic number.

It is an amenable number.

21133302213217 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133302213217 is an equidigital number, since it uses as much as digits as its factorization.

21133302213217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 21133302213217 its reverse (71231220333112), we get a palindrome (92364522546329).

The spelling of 21133302213217 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred two million, two hundred thirteen thousand, two hundred seventeen".