13381979728 has 60 divisors (see below), whose sum is σ = 28132830460. Its totient is φ = 6166288128.

The previous prime is 13381979683. The next prime is 13381979759. The reversal of 13381979728 is 82797918331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 13375385104 + 6594624 = 115652^2 + 2568^2 .

It is a congruent number.

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, 21688476 + ... + 21689092.

Almost surely, 2^13381979728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381979728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14066415230).

13381979728 is an abundant number, since it is smaller than the sum of its proper divisors (14750850732).

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

13381979728 is an frugal number, since it uses more digits than its factorization.

13381979728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 632 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 58.

The spelling of 13381979728 in words is "thirteen billion, three hundred eighty-one million, nine hundred seventy-nine thousand, seven hundred twenty-eight".