13365330 has 64 divisors (see below), whose sum is σ = 35427456. Its totient is φ = 3200000.

The previous prime is 13365271. The next prime is 13365337. The reversal of 13365330 is 3356331.

13365330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13365330.

It is not an unprimeable number, because it can be changed into a prime (13365337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33130 + ... + 33530.

It is an arithmetic number, because the mean of its divisors is an integer number (553554).

Almost surely, 2^13365330 is an apocalyptic number.

13365330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13365330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713728).

13365330 is an abundant number, since it is smaller than the sum of its proper divisors (22062126).

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

13365330 is a wasteful number, since it uses less digits than its factorization.

13365330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 13365330 is about 3655.8624153543. The cubic root of 13365330 is about 237.3157499879.

It can be divided in two parts, 13365 and 330, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 13365330 in words is "thirteen million, three hundred sixty-five thousand, three hundred thirty".