221311001133 has 12 divisors (see below), whose sum is σ = 328311215388. Its totient is φ = 143553081600.

The previous prime is 221311001123. The next prime is 221311001147. The reversal of 221311001133 is 331100113122.

221311001133 is a `hidden beast` number, since 221 + 311 + 0 + 0 + 1 + 133 = 666.

221311001133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 193936305924 + 27374695209 = 440382^2 + 165453^2 .

It is not a de Polignac number, because 221311001133 - 2⁵ = 221311001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311001123) 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 in 11 ways as a sum of consecutive naturals, for example, 332298468 + ... + 332299133.

It is an arithmetic number, because the mean of its divisors is an integer number (27359267949).

Almost surely, 2^221311001133 is an apocalyptic number.

It is an amenable number.

221311001133 is a deficient number, since it is larger than the sum of its proper divisors (107000214255).

221311001133 is a wasteful number, since it uses less digits than its factorization.

221311001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664597644 (or 664597641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 221311001133 its reverse (331100113122), we get a palindrome (552411114255).

The spelling of 221311001133 in words is "two hundred twenty-one billion, three hundred eleven million, one thousand, one hundred thirty-three".