13006016 has 28 divisors (see below), whose sum is σ = 26072592. Its totient is φ = 6436608.

The previous prime is 13006009. The next prime is 13006027. The reversal of 13006016 is 61060031.

It is a junction number, because it is equal to n+sod(n) for n = 13005985 and 13006003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5606 + ... + 7578.

It is an arithmetic number, because the mean of its divisors is an integer number (931164).

Almost surely, 2^13006016 is an apocalyptic number.

13006016 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 13006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036296).

13006016 is an abundant number, since it is smaller than the sum of its proper divisors (13066576).

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

13006016 is a wasteful number, since it uses less digits than its factorization.

13006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13006016 is about 3606.3854480629. The cubic root of 13006016 is about 235.1697340233.

Adding to 13006016 its reverse (61060031), we get a palindrome (74066047).

The spelling of 13006016 in words is "thirteen million, six thousand, sixteen".