13118112 has 144 divisors (see below), whose sum is σ = 44396352. Its totient is φ = 3732480.

The previous prime is 13118107. The next prime is 13118129. The reversal of 13118112 is 21181131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 54312 + ... + 54552.

It is an arithmetic number, because the mean of its divisors is an integer number (308308).

Almost surely, 2^13118112 is an apocalyptic number.

13118112 is a gapful number since it is divisible by the number (12) 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 13118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198176).

13118112 is an abundant number, since it is smaller than the sum of its proper divisors (31278240).

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

13118112 is an equidigital number, since it uses as much as digits as its factorization.

13118112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 13118112 is about 3621.8934274768. The cubic root of 13118112 is about 235.8434276986.

Adding to 13118112 its reverse (21181131), we get a palindrome (34299243).

It can be divided in two parts, 1 and 3118112, that added together give a palindrome (3118113).

The spelling of 13118112 in words is "thirteen million, one hundred eighteen thousand, one hundred twelve".