11123133033100 has 72 divisors (see below), whose sum is σ = 27476336901888. Its totient is φ = 3868915828800.

The previous prime is 11123133033097. The next prime is 11123133033109. The reversal of 11123133033100 is 133033132111.

It is a super-2 number, since 2×11123133033100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11123133033109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219799464 + ... + 219850063.

It is an arithmetic number, because the mean of its divisors is an integer number (381615790304).

Almost surely, 2^{11123133033100} is an apocalyptic number.

11123133033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123133033100 is an abundant number, since it is smaller than the sum of its proper divisors (16353203868788).

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

11123133033100 is a wasteful number, since it uses less digits than its factorization.

11123133033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439649575 (or 439649568 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11123133033100 its reverse (133033132111), we get a palindrome (11256166165211).

The spelling of 11123133033100 in words is "eleven trillion, one hundred twenty-three billion, one hundred thirty-three million, thirty-three thousand, one hundred".