13216415100 has 144 divisors (see below), whose sum is σ = 43740700416. Its totient is φ = 3018240000.

The previous prime is 13216415083. The next prime is 13216415141. The reversal of 13216415100 is 151461231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3360135 + ... + 3364065.

It is an arithmetic number, because the mean of its divisors is an integer number (303754864).

Almost surely, 2^13216415100 is an apocalyptic number.

13216415100 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 13216415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870350208).

13216415100 is an abundant number, since it is smaller than the sum of its proper divisors (30524285316).

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

13216415100 is a wasteful number, since it uses less digits than its factorization.

13216415100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 13216415100 its reverse (151461231), we get a palindrome (13367876331).

The spelling of 13216415100 in words is "thirteen billion, two hundred sixteen million, four hundred fifteen thousand, one hundred".