13313680 has 60 divisors (see below), whose sum is σ = 32740092. Its totient is φ = 5034240.

The previous prime is 13313647. The next prime is 13313681. The reversal of 13313680 is 8631331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 8785296 = 2128^2 + 2964^2 .

It is not an unprimeable number, because it can be changed into a prime (13313681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28650 + ... + 29110.

Almost surely, 2^13313680 is an apocalyptic number.

13313680 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 13313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370046).

13313680 is an abundant number, since it is smaller than the sum of its proper divisors (19426412).

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

13313680 is a wasteful number, since it uses less digits than its factorization.

13313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13313680 is about 3648.7915807840. The cubic root of 13313680 is about 237.0096549919.

The spelling of 13313680 in words is "thirteen million, three hundred thirteen thousand, six hundred eighty".