13118016 has 56 divisors (see below), whose sum is σ = 36758880. Its totient is φ = 4114432.

The previous prime is 13118011. The next prime is 13118023. The reversal of 13118016 is 61081131.

It is a junction number, because it is equal to n+sod(n) for n = 13117983 and 13118001.

It is not an unprimeable number, because it can be changed into a prime (13118011) by changing a digit.

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, 1255 + ... + 5273.

Almost surely, 2^13118016 is an apocalyptic number.

13118016 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 13118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379440).

13118016 is an abundant number, since it is smaller than the sum of its proper divisors (23640864).

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

13118016 is a wasteful number, since it uses less digits than its factorization.

13118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4041 counting only the distinct ones).

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

The square root of 13118016 is about 3621.8801747159. The cubic root of 13118016 is about 235.8428523865.

Adding to 13118016 its reverse (61081131), we get a palindrome (74199147).

The spelling of 13118016 in words is "thirteen million, one hundred eighteen thousand, sixteen".