13018900 has 36 divisors (see below), whose sum is σ = 28552860. Its totient is φ = 5152000.

The previous prime is 13018871. The next prime is 13018909. The reversal of 13018900 is 981031.

It can be written as a sum of positive squares in 6 ways, for example, as 1281424 + 11737476 = 1132^2 + 3426^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13018909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9456 + ... + 10744.

It is an arithmetic number, because the mean of its divisors is an integer number (793135).

Almost surely, 2^13018900 is an apocalyptic number.

13018900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13018900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276430).

13018900 is an abundant number, since it is smaller than the sum of its proper divisors (15533960).

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

13018900 is a wasteful number, since it uses less digits than its factorization.

13018900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 13018900 is about 3608.1712819654. The cubic root of 13018900 is about 235.2473628915.

Adding to 13018900 its reverse (981031), we get a palindrome (13999931).

It can be divided in two parts, 1301 and 8900, that added together give a palindrome (10201).

The spelling of 13018900 in words is "thirteen million, eighteen thousand, nine hundred".