11132331100200 has 72 divisors (see below), whose sum is σ = 37386078617550. Its totient is φ = 2968621626240.

The previous prime is 11132331100153. The next prime is 11132331100207. The reversal of 11132331100200 is 200113323111.

11132331100200 is a `hidden beast` number, since 1 + 1 + 1 + 32 + 331 + 100 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10613352058596 + 518979041604 = 3257814^2 + 720402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (11132331100207) 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, 3092312395 + ... + 3092315994.

Almost surely, 2^{11132331100200} is an apocalyptic number.

11132331100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132331100200 is an abundant number, since it is smaller than the sum of its proper divisors (26253747517350).

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

11132331100200 is a wasteful number, since it uses less digits than its factorization.

11132331100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6184628411 (or 6184628399 counting only the distinct ones).

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

Adding to 11132331100200 its reverse (200113323111), we get a palindrome (11332444423311).

The spelling of 11132331100200 in words is "eleven trillion, one hundred thirty-two billion, three hundred thirty-one million, one hundred thousand, two hundred".