221505441133 has 2 divisors, whose sum is σ = 221505441134. Its totient is φ = 221505441132.

The previous prime is 221505441107. The next prime is 221505441163. The reversal of 221505441133 is 331144505122.

221505441133 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., 128951373604 + 92554067529 = 359098^2 + 304227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221505441133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221505441095 and 221505441104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221505441163) 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, 110752720566 + 110752720567.

It is an arithmetic number, because the mean of its divisors is an integer number (110752720567).

Almost surely, 2^221505441133 is an apocalyptic number.

It is an amenable number.

221505441133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221505441133 is an equidigital number, since it uses as much as digits as its factorization.

221505441133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 221505441133 its reverse (331144505122), we get a palindrome (552649946255).

The spelling of 221505441133 in words is "two hundred twenty-one billion, five hundred five million, four hundred forty-one thousand, one hundred thirty-three".