13132318000 has 80 divisors (see below), whose sum is σ = 31788072576. Its totient is φ = 5247283200.

The previous prime is 13132317973. The next prime is 13132318019. The reversal of 13132318000 is 81323131.

13132318000 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, 2203024 + ... + 2208976.

Almost surely, 2^13132318000 is an apocalyptic number.

13132318000 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 13132318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894036288).

13132318000 is an abundant number, since it is smaller than the sum of its proper divisors (18655754576).

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

13132318000 is a wasteful number, since it uses less digits than its factorization.

13132318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

It can be divided in two parts, 1313231 and 8000, that added together give a palindrome (1321231).

The spelling of 13132318000 in words is "thirteen billion, one hundred thirty-two million, three hundred eighteen thousand".