110133113022000 has 400 divisors, whose sum is σ = 397839718628352. Its totient is φ = 29366559590400.

The previous prime is 110133113021977. The next prime is 110133113022001. The reversal of 110133113022000 is 220311331011.

110133113022000 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 331 + 130 + 2 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110133113022001) 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 79 ways as a sum of consecutive naturals, for example, 3724851217 + ... + 3724880783.

Almost surely, 2^{110133113022000} is an apocalyptic number.

110133113022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110133113022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198919859314176).

110133113022000 is an abundant number, since it is smaller than the sum of its proper divisors (287706605606352).

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

110133113022000 is a wasteful number, since it uses less digits than its factorization.

110133113022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52595 (or 52570 counting only the distinct ones).

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

Adding to 110133113022000 its reverse (220311331011), we get a palindrome (110353424353011).

The spelling of 110133113022000 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred thirteen million, twenty-two thousand".