13213342640 has 80 divisors (see below), whose sum is σ = 31546195200. Its totient is φ = 5145121536.

The previous prime is 13213342627. The next prime is 13213342711. The reversal of 13213342640 is 4624331231.

13213342640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472571 + ... + 499749.

It is an arithmetic number, because the mean of its divisors is an integer number (394327440).

Almost surely, 2^13213342640 is an apocalyptic number.

13213342640 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 13213342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773097600).

13213342640 is an abundant number, since it is smaller than the sum of its proper divisors (18332852560).

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

13213342640 is a wasteful number, since it uses less digits than its factorization.

13213342640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27354 (or 27348 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13213342640 its reverse (4624331231), we get a palindrome (17837673871).

The spelling of 13213342640 in words is "thirteen billion, two hundred thirteen million, three hundred forty-two thousand, six hundred forty".