221113101133 has 2 divisors, whose sum is σ = 221113101134. Its totient is φ = 221113101132.

The previous prime is 221113101109. The next prime is 221113101151. The reversal of 221113101133 is 331101311122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205532569449 + 15580531684 = 453357^2 + 124822^2 .

It is a cyclic number.

It is not a de Polignac number, because 221113101133 - 2⁵ = 221113101101 is a prime.

It is a super-3 number, since 3×221113101133³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221113101133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221113101233) 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, 110556550566 + 110556550567.

It is an arithmetic number, because the mean of its divisors is an integer number (110556550567).

Almost surely, 2^221113101133 is an apocalyptic number.

It is an amenable number.

221113101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221113101133 is an equidigital number, since it uses as much as digits as its factorization.

221113101133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 221113101133 its reverse (331101311122), we get a palindrome (552214412255).

The spelling of 221113101133 in words is "two hundred twenty-one billion, one hundred thirteen million, one hundred one thousand, one hundred thirty-three".