13201380 has 120 divisors (see below), whose sum is σ = 42993720. Its totient is φ = 3386880.

The previous prime is 13201373. The next prime is 13201403. The reversal of 13201380 is 8310231.

It can be written as a sum of positive squares in 4 ways, for example, as 2232036 + 10969344 = 1494^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46840 + ... + 47120.

It is an arithmetic number, because the mean of its divisors is an integer number (358281).

Almost surely, 2^13201380 is an apocalyptic number.

13201380 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 13201380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21496860).

13201380 is an abundant number, since it is smaller than the sum of its proper divisors (29792340).

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

13201380 is a wasteful number, since it uses less digits than its factorization.

13201380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13201380 is about 3633.3703362030. The cubic root of 13201380 is about 236.3413856587.

The spelling of 13201380 in words is "thirteen million, two hundred one thousand, three hundred eighty".