13004124100 has 108 divisors (see below), whose sum is σ = 32366803392. Its totient is φ = 4523076800.

The previous prime is 13004124073. The next prime is 13004124121. The reversal of 13004124100 is 142140031.

13004124100 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254937 + ... + 301663.

It is an arithmetic number, because the mean of its divisors is an integer number (299692624).

Almost surely, 2^13004124100 is an apocalyptic number.

13004124100 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 13004124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183401696).

13004124100 is an abundant number, since it is smaller than the sum of its proper divisors (19362679292).

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

13004124100 is a wasteful number, since it uses less digits than its factorization.

13004124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46786 (or 46768 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13004124100 its reverse (142140031), we get a palindrome (13146264131).

The spelling of 13004124100 in words is "thirteen billion, four million, one hundred twenty-four thousand, one hundred".