223133112110106 has 96 divisors (see below), whose sum is σ = 530924190451200. Its totient is φ = 67165028964000.

The previous prime is 223133112110101. The next prime is 223133112110137. The reversal of 223133112110106 is 601011211331322.

223133112110106 is a `hidden beast` number, since 2 + 2 + 31 + 3 + 311 + 211 + 0 + 106 = 666.

It is a super-3 number, since 3×223133112110106³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223133112110106.

It is not an unprimeable number, because it can be changed into a prime (223133112110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651694945 + ... + 652037243.

It is an arithmetic number, because the mean of its divisors is an integer number (5530460317200).

Almost surely, 2^{223133112110106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223133112110106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265462095225600).

223133112110106 is an abundant number, since it is smaller than the sum of its proper divisors (307791078341094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223133112110106 is a wasteful number, since it uses less digits than its factorization.

223133112110106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364272 (or 364269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 223133112110106 its reverse (601011211331322), we get a palindrome (824144323441428).

The spelling of 223133112110106 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, one hundred twelve million, one hundred ten thousand, one hundred six".