13300000 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4320000.

The previous prime is 13299991. The next prime is 13300039. The reversal of 13300000 is 331.

It is a happy number.

It is a sliding number, since 13300000 = 800000 + 12500000 and 1/800000 + 1/12500000 = 0.0000013300000.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699991 + ... + 700009.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^13300000 is an apocalyptic number.

13300000 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 13300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13300000 is an abundant number, since it is smaller than the sum of its proper divisors (26072480).

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

13300000 is an frugal number, since it uses more digits than its factorization.

13300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 13300000 is about 3646.9165057621. The cubic root of 13300000 is about 236.9284502157.

Adding to 13300000 its reverse (331), we get a palindrome (13300331).

The spelling of 13300000 in words is "thirteen million, three hundred thousand".