13005034 has 32 divisors (see below), whose sum is σ = 24074496. Its totient is φ = 5141760.

The previous prime is 13005029. The next prime is 13005037. The reversal of 13005034 is 43050031.

13005034 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13005034 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13004999 and 13005017.

It is not an unprimeable number, because it can be changed into a prime (13005037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12099 + ... + 13129.

It is an arithmetic number, because the mean of its divisors is an integer number (752328).

Almost surely, 2^13005034 is an apocalyptic number.

13005034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13005034 is a deficient number, since it is larger than the sum of its proper divisors (11069462).

13005034 is a wasteful number, since it uses less digits than its factorization.

13005034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13005034 is about 3606.2492980935. The cubic root of 13005034 is about 235.1638151601.

Adding to 13005034 its reverse (43050031), we get a palindrome (56055065).

The spelling of 13005034 in words is "thirteen million, five thousand, thirty-four".