13005041 has 12 divisors (see below), whose sum is σ = 15452928. Its totient is φ = 10908072.

The previous prime is 13005037. The next prime is 13005053. The reversal of 13005041 is 14050031.

13005041 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 13005041 - 2² = 13005037 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521 + ... + 5126.

It is an arithmetic number, because the mean of its divisors is an integer number (1287744).

Almost surely, 2^13005041 is an apocalyptic number.

It is an amenable number.

13005041 is a deficient number, since it is larger than the sum of its proper divisors (2447887).

13005041 is an equidigital number, since it uses as much as digits as its factorization.

13005041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13005041 is about 3606.2502686308. The cubic root of 13005041 is about 235.1638573526.

Adding to 13005041 its reverse (14050031), we get a palindrome (27055072).

The spelling of 13005041 in words is "thirteen million, five thousand, forty-one".