11331131121100 has 144 divisors (see below), whose sum is σ = 28680711192000. Its totient is φ = 3884144732160.

The previous prime is 11331131121083. The next prime is 11331131121143. The reversal of 11331131121100 is 112113113311.

11331131121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176715846 + ... + 176779954.

It is an arithmetic number, because the mean of its divisors is an integer number (199171605500).

Almost surely, 2^{11331131121100} is an apocalyptic number.

11331131121100 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 11331131121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340355596000).

11331131121100 is an abundant number, since it is smaller than the sum of its proper divisors (17349580070900).

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

11331131121100 is a wasteful number, since it uses less digits than its factorization.

11331131121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69297 (or 69276 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11331131121100 its reverse (112113113311), we get a palindrome (11443244234411).

The spelling of 11331131121100 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred".