13313442216 has 64 divisors (see below), whose sum is σ = 34014240000. Its totient is φ = 4340521728.

The previous prime is 13313442209. The next prime is 13313442227. The reversal of 13313442216 is 61224431331.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2312910 + ... + 2318658.

It is an arithmetic number, because the mean of its divisors is an integer number (531472500).

Almost surely, 2^13313442216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007120000).

13313442216 is an abundant number, since it is smaller than the sum of its proper divisors (20700797784).

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

13313442216 is a wasteful number, since it uses less digits than its factorization.

13313442216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7858 (or 7854 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 13313442216 its reverse (61224431331), we get a palindrome (74537873547).

The spelling of 13313442216 in words is "thirteen billion, three hundred thirteen million, four hundred forty-two thousand, two hundred sixteen".