110223332102133 has 24 divisors (see below), whose sum is σ = 162216859236120. Its totient is φ = 72095146905600.

The previous prime is 110223332102129. The next prime is 110223332102159. The reversal of 110223332102133 is 331201233322011.

110223332102133 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 233 + 3 + 210 + 213 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20422653454449 + 89800678647684 = 4519143^2 + 9476322^2 .

It is not a de Polignac number, because 110223332102133 - 2² = 110223332102129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110223332102097 and 110223332102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110223332112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58507413 + ... + 60361941.

It is an arithmetic number, because the mean of its divisors is an integer number (6759035801505).

Almost surely, 2^{110223332102133} is an apocalyptic number.

It is an amenable number.

110223332102133 is a deficient number, since it is larger than the sum of its proper divisors (51993527133987).

110223332102133 is a wasteful number, since it uses less digits than its factorization.

110223332102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979189 (or 1979186 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 110223332102133 its reverse (331201233322011), we get a palindrome (441424565424144).

The spelling of 110223332102133 in words is "one hundred ten trillion, two hundred twenty-three billion, three hundred thirty-two million, one hundred two thousand, one hundred thirty-three".