13001015 has 12 divisors (see below), whose sum is σ = 15914856. Its totient is φ = 10193568.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001015 is 51010031.

13001015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001015 - 2²⁰ = 11952439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000987 and 13001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65897 + ... + 66093.

It is an arithmetic number, because the mean of its divisors is an integer number (1326238).

Almost surely, 2^13001015 is an apocalyptic number.

13001015 is a deficient number, since it is larger than the sum of its proper divisors (2913841).

13001015 is an frugal number, since it uses more digits than its factorization.

13001015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 13001015 is about 3605.6920278915. The cubic root of 13001015 is about 235.1395881121.

Adding to 13001015 its reverse (51010031), we get a palindrome (64011046).

It can be divided in two parts, 1300 and 1015, that multiplied together give a triangular number (1319500 = T₁₆₂₄).

The spelling of 13001015 in words is "thirteen million, one thousand, fifteen".