11133101100100 has 180 divisors, whose sum is σ = 28645688260868. Its totient is φ = 3754483488000.

The previous prime is 11133101100089. The next prime is 11133101100103. The reversal of 11133101100100 is 100110133111.

It can be written as a sum of positive squares in 6 ways, for example, as 1426648691776 + 9706452408324 = 1194424^2 + 3115518^2 .

It is not an unprimeable number, because it can be changed into a prime (11133101100103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14266030 + ... + 15026170.

Almost surely, 2^{11133101100100} is an apocalyptic number.

11133101100100 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 11133101100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322844130434).

11133101100100 is an abundant number, since it is smaller than the sum of its proper divisors (17512587160768).

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

11133101100100 is an equidigital number, since it uses as much as digits as its factorization.

11133101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760244 (or 760216 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11133101100100 its reverse (100110133111), we get a palindrome (11233211233211).

The spelling of 11133101100100 in words is "eleven trillion, one hundred thirty-three billion, one hundred one million, one hundred thousand, one hundred".