13350180 has 48 divisors (see below), whose sum is σ = 37767744. Its totient is φ = 3523200.

The previous prime is 13350163. The next prime is 13350187. The reversal of 13350180 is 8105331.

It is a happy number.

13350180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13350187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4959 + ... + 7161.

It is an arithmetic number, because the mean of its divisors is an integer number (786828).

Almost surely, 2^13350180 is an apocalyptic number.

13350180 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 13350180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883872).

13350180 is an abundant number, since it is smaller than the sum of its proper divisors (24417564).

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

13350180 is a wasteful number, since it uses less digits than its factorization.

13350180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13350180 is about 3653.7898133308. The cubic root of 13350180 is about 237.2260479268.

It can be divided in two parts, 13350 and 180, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 13350180 in words is "thirteen million, three hundred fifty thousand, one hundred eighty".