13331101100 has 144 divisors (see below), whose sum is σ = 31051345920. Its totient is φ = 4953312000.

The previous prime is 13331101067. The next prime is 13331101109. The reversal of 13331101100 is 110113331.

It is a happy number.

13331101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13331101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24371027 + ... + 24371573.

Almost surely, 2^13331101100 is an apocalyptic number.

13331101100 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 13331101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15525672960).

13331101100 is an abundant number, since it is smaller than the sum of its proper divisors (17720244820).

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

13331101100 is a wasteful number, since it uses less digits than its factorization.

13331101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13331101100 its reverse (110113331), we get a palindrome (13441214431).

The spelling of 13331101100 in words is "thirteen billion, three hundred thirty-one million, one hundred one thousand, one hundred".