13305000 has 80 divisors (see below), whose sum is σ = 41611680. Its totient is φ = 3544000.

The previous prime is 13304989. The next prime is 13305001. The reversal of 13305000 is 50331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13305001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14557 + ... + 15443.

It is an arithmetic number, because the mean of its divisors is an integer number (520146).

Almost surely, 2^13305000 is an apocalyptic number.

13305000 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 13305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805840).

13305000 is an abundant number, since it is smaller than the sum of its proper divisors (28306680).

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

13305000 is an equidigital number, since it uses as much as digits as its factorization.

13305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13305000 is about 3647.6019519679. The cubic root of 13305000 is about 236.9581367778.

Adding to 13305000 its reverse (50331), we get a palindrome (13355331).

The spelling of 13305000 in words is "thirteen million, three hundred five thousand".