13003065 has 32 divisors (see below), whose sum is σ = 23510400. Its totient is φ = 6816960.

The previous prime is 13003061. The next prime is 13003091. The reversal of 13003065 is 56030031.

13003065 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13003065 - 2² = 13003061 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13003061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7446 + ... + 9024.

It is an arithmetic number, because the mean of its divisors is an integer number (734700).

Almost surely, 2^13003065 is an apocalyptic number.

13003065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13003065 is a deficient number, since it is larger than the sum of its proper divisors (10507335).

13003065 is a wasteful number, since it uses less digits than its factorization.

13003065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13003065 is about 3605.9762894395. The cubic root of 13003065 is about 235.1519463990.

Adding to 13003065 its reverse (56030031), we get a palindrome (69033096).

The spelling of 13003065 in words is "thirteen million, three thousand, sixty-five".