11133044100 has 54 divisors (see below), whose sum is σ = 34895911050. Its totient is φ = 2968811520.

The previous prime is 11133044081. The next prime is 11133044107. The reversal of 11133044100 is 144033111.

It can be written as a sum of positive squares in 3 ways, for example, as 15872256 + 11117171844 = 3984^2 + 105438^2 .

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 (11133044107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6184125 + ... + 6185924.

It is an arithmetic number, because the mean of its divisors is an integer number (646220575).

Almost surely, 2^11133044100 is an apocalyptic number.

11133044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133044100 is an abundant number, since it is smaller than the sum of its proper divisors (23762866950).

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

11133044100 is a wasteful number, since it uses less digits than its factorization.

11133044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370069 (or 12370059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11133044100 its reverse (144033111), we get a palindrome (11277077211).

The spelling of 11133044100 in words is "eleven billion, one hundred thirty-three million, forty-four thousand, one hundred".