13110816 has 48 divisors (see below), whose sum is σ = 35265888. Its totient is φ = 4262400.

The previous prime is 13110809. The next prime is 13110821. The reversal of 13110816 is 61801131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13110792 and 13110801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2271 + ... + 5601.

It is an arithmetic number, because the mean of its divisors is an integer number (734706).

Almost surely, 2^13110816 is an apocalyptic number.

13110816 is a gapful number since it is divisible by the number (16) 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 13110816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632944).

13110816 is an abundant number, since it is smaller than the sum of its proper divisors (22155072).

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

13110816 is a wasteful number, since it uses less digits than its factorization.

13110816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 13110816 is about 3620.8860794010. The cubic root of 13110816 is about 235.7996959798.

Adding to 13110816 its reverse (61801131), we get a palindrome (74911947).

The spelling of 13110816 in words is "thirteen million, one hundred ten thousand, eight hundred sixteen".