13350000 has 120 divisors (see below), whose sum is σ = 43590960. Its totient is φ = 3520000.

The previous prime is 13349983. The next prime is 13350019. The reversal of 13350000 is 5331.

It is a happy number.

13350000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 149956 + ... + 150044.

It is an arithmetic number, because the mean of its divisors is an integer number (363258).

Almost surely, 2^13350000 is an apocalyptic number.

13350000 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 13350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795480).

13350000 is an abundant number, since it is smaller than the sum of its proper divisors (30240960).

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

13350000 is an frugal number, since it uses more digits than its factorization.

13350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

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

The square root of 13350000 is about 3653.7651812890. The cubic root of 13350000 is about 237.2249817519.

Adding to 13350000 its reverse (5331), we get a palindrome (13355331).

The spelling of 13350000 in words is "thirteen million, three hundred fifty thousand".