13005018 has 48 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 3964032.

The previous prime is 13005011. The next prime is 13005029. The reversal of 13005018 is 81050031.

It is a happy number.

13005018 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 can be written as a sum of positive squares in 4 ways, for example, as 6517809 + 6487209 = 2553^2 + 2547^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 34680 + ... + 35052.

Almost surely, 2^13005018 is an apocalyptic number.

13005018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

13005018 is an abundant number, since it is smaller than the sum of its proper divisors (17625582).

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

13005018 is a wasteful number, since it uses less digits than its factorization.

13005018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 13005018 is about 3606.2470797215. The cubic root of 13005018 is about 235.1637187199.

Adding to 13005018 its reverse (81050031), we get a palindrome (94055049).

It can be divided in two parts, 130050 and 18, that multiplied together give a square (2340900 = 1530²).

The spelling of 13005018 in words is "thirteen million, five thousand, eighteen".