13112133100 has 144 divisors (see below), whose sum is σ = 31668973056. Its totient is φ = 4672480000.

The previous prime is 13112133079. The next prime is 13112133103. The reversal of 13112133100 is 133121131.

13112133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13112133100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13112133103) 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, 11887149 + ... + 11888251.

It is an arithmetic number, because the mean of its divisors is an integer number (219923424).

Almost surely, 2^13112133100 is an apocalyptic number.

13112133100 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 13112133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834486528).

13112133100 is an abundant number, since it is smaller than the sum of its proper divisors (18556839956).

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

13112133100 is a wasteful number, since it uses less digits than its factorization.

13112133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13112133100 its reverse (133121131), we get a palindrome (13245254231).

The spelling of 13112133100 in words is "thirteen billion, one hundred twelve million, one hundred thirty-three thousand, one hundred".