13006112 has 48 divisors (see below), whose sum is σ = 30223872. Its totient is φ = 5391360.

The previous prime is 13006111. The next prime is 13006121. The reversal of 13006112 is 21160031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13006111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6008 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (629664).

Almost surely, 2^13006112 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 13006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111936).

13006112 is an abundant number, since it is smaller than the sum of its proper divisors (17217760).

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

13006112 is a wasteful number, since it uses less digits than its factorization.

13006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 13006112 is about 3606.3987577638. The cubic root of 13006112 is about 235.1703126335.

Adding to 13006112 its reverse (21160031), we get a palindrome (34166143).

The spelling of 13006112 in words is "thirteen million, six thousand, one hundred twelve".