21331222100033 has 2 divisors, whose sum is σ = 21331222100034. Its totient is φ = 21331222100032.

The previous prime is 21331222099997. The next prime is 21331222100101. The reversal of 21331222100033 is 33000122213312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20346658068529 + 984564031504 = 4510727^2 + 992252^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331222100033 - 2²⁸ = 21330953664577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21331222099981 and 21331222100008.

It is not a weakly prime, because it can be changed into another prime (21331222100633) 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, 10665611050016 + 10665611050017.

It is an arithmetic number, because the mean of its divisors is an integer number (10665611050017).

Almost surely, 2^{21331222100033} is an apocalyptic number.

It is an amenable number.

21331222100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21331222100033 is an equidigital number, since it uses as much as digits as its factorization.

21331222100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21331222100033 its reverse (33000122213312), we get a palindrome (54331344313345).

The spelling of 21331222100033 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred twenty-two million, one hundred thousand, thirty-three".