13007115 has 64 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 5961600.

The previous prime is 13007087. The next prime is 13007119. The reversal of 13007115 is 51170031.

It is a happy number.

13007115 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13007115 - 2¹² = 13003019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13007119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27985 + ... + 28445.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^13007115 is an apocalyptic number.

13007115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13007115 is an abundant number, since it is smaller than the sum of its proper divisors (13604085).

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

13007115 is a wasteful number, since it uses less digits than its factorization.

13007115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 13007115 is about 3606.5378134715. The cubic root of 13007115 is about 235.1763577339.

Adding to 13007115 its reverse (51170031), we get a palindrome (64177146).

The spelling of 13007115 in words is "thirteen million, seven thousand, one hundred fifteen".