1100133320220 has 576 divisors, whose sum is σ = 3803127164928. Its totient is φ = 255011328000.

The previous prime is 1100133320219. The next prime is 1100133320261. The reversal of 1100133320220 is 220233310011.

1100133320220 is a `hidden beast` number, since 1 + 100 + 13 + 332 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100133320193 and 1100133320202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3323665455 + ... + 3323665785.

It is an arithmetic number, because the mean of its divisors is an integer number (6602651328).

Almost surely, 2^{1100133320220} is an apocalyptic number.

1100133320220 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 1100133320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901563582464).

1100133320220 is an abundant number, since it is smaller than the sum of its proper divisors (2702993844708).

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

1100133320220 is a wasteful number, since it uses less digits than its factorization.

1100133320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100133320220 its reverse (220233310011), we get a palindrome (1320366630231).

The spelling of 1100133320220 in words is "one trillion, one hundred billion, one hundred thirty-three million, three hundred twenty thousand, two hundred twenty".