13328131840 has 144 divisors (see below), whose sum is σ = 32438181888. Its totient is φ = 5246373888.

The previous prime is 13328131781. The next prime is 13328131871. The reversal of 13328131840 is 4813182331.

It is a junction number, because it is equal to n+sod(n) for n = 13328131796 and 13328131805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26497029 + ... + 26497531.

It is an arithmetic number, because the mean of its divisors is an integer number (225265152).

Almost surely, 2^13328131840 is an apocalyptic number.

13328131840 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 13328131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219090944).

13328131840 is an abundant number, since it is smaller than the sum of its proper divisors (19110050048).

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

13328131840 is a wasteful number, since it uses less digits than its factorization.

13328131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 13328131840 in words is "thirteen billion, three hundred twenty-eight million, one hundred thirty-one thousand, eight hundred forty".