221221116133 has 2 divisors, whose sum is σ = 221221116134. Its totient is φ = 221221116132.

The previous prime is 221221116113. The next prime is 221221116143. The reversal of 221221116133 is 331611122122.

221221116133 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., 219246824644 + 1974291489 = 468238^2 + 44433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221221116133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221221116098 and 221221116107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221116113) 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, 110610558066 + 110610558067.

It is an arithmetic number, because the mean of its divisors is an integer number (110610558067).

Almost surely, 2^221221116133 is an apocalyptic number.

It is an amenable number.

221221116133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221116133 is an equidigital number, since it uses as much as digits as its factorization.

221221116133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

Adding to 221221116133 its reverse (331611122122), we get a palindrome (552832238255).

The spelling of 221221116133 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred sixteen thousand, one hundred thirty-three".