13106716100 has 72 divisors (see below), whose sum is σ = 30755531520. Its totient is φ = 4829278720.

The previous prime is 13106716099. The next prime is 13106716187. The reversal of 13106716100 is 161760131.

It is a self number, because there is not a number n which added to its sum of digits gives 13106716100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2120 + ... + 161919.

It is an arithmetic number, because the mean of its divisors is an integer number (427160160).

Almost surely, 2^13106716100 is an apocalyptic number.

13106716100 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 13106716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377765760).

13106716100 is an abundant number, since it is smaller than the sum of its proper divisors (17648815420).

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

13106716100 is a wasteful number, since it uses less digits than its factorization.

13106716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164117 (or 164110 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 13106716100 in words is "thirteen billion, one hundred six million, seven hundred sixteen thousand, one hundred".