13005300 has 144 divisors (see below), whose sum is σ = 46996992. Its totient is φ = 2697600.

The previous prime is 13005277. The next prime is 13005301. The reversal of 13005300 is 350031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22819 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (326368).

Almost surely, 2^13005300 is an apocalyptic number.

13005300 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 13005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498496).

13005300 is an abundant number, since it is smaller than the sum of its proper divisors (33991692).

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

13005300 is a wasteful number, since it uses less digits than its factorization.

13005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

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

The square root of 13005300 is about 3606.2861783281. The cubic root of 13005300 is about 235.1654184661.

Adding to 13005300 its reverse (350031), we get a palindrome (13355331).

The spelling of 13005300 in words is "thirteen million, five thousand, three hundred".