13181328 has 60 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 4363968.

The previous prime is 13181317. The next prime is 13181347. The reversal of 13181328 is 82318131.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34225 + ... + 34607.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^13181328 is an apocalyptic number.

13181328 is a gapful number since it is divisible by the number (18) 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 13181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

13181328 is an abundant number, since it is smaller than the sum of its proper divisors (23959152).

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

13181328 is a wasteful number, since it uses less digits than its factorization.

13181328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 13181328 is about 3630.6098661244. The cubic root of 13181328 is about 236.2216628480.

Adding to 13181328 its reverse (82318131), we get a palindrome (95499459).

It can be divided in two parts, 131813 and 28, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 13181328 in words is "thirteen million, one hundred eighty-one thousand, three hundred twenty-eight".