221331220133 has 2 divisors, whose sum is σ = 221331220134. Its totient is φ = 221331220132.

The previous prime is 221331220067. The next prime is 221331220157. The reversal of 221331220133 is 331022133122.

221331220133 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., 134752865569 + 86578354564 = 367087^2 + 294242^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331220133 - 2¹⁴ = 221331203749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221331220099 and 221331220108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221331220193) 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, 110665610066 + 110665610067.

It is an arithmetic number, because the mean of its divisors is an integer number (110665610067).

Almost surely, 2^221331220133 is an apocalyptic number.

It is an amenable number.

221331220133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331220133 is an equidigital number, since it uses as much as digits as its factorization.

221331220133 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 221331220133 its reverse (331022133122), we get a palindrome (552353353255).

The spelling of 221331220133 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred twenty thousand, one hundred thirty-three".