13311117728 has 48 divisors (see below), whose sum is σ = 26880766920. Its totient is φ = 6484684800.

The previous prime is 13311117707. The next prime is 13311117739. The reversal of 13311117728 is 82771111331.

It can be written as a sum of positive squares in 4 ways, for example, as 12466169104 + 844948624 = 111652^2 + 29068^2 .

It is a super-3 number, since 3×13311117728³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055138 + ... + 1067678.

Almost surely, 2^13311117728 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 13311117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440383460).

13311117728 is an abundant number, since it is smaller than the sum of its proper divisors (13569649192).

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

13311117728 is a wasteful number, since it uses less digits than its factorization.

13311117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401 (or 13393 counting only the distinct ones).

The product of its digits is 7056, while the sum is 35.

The spelling of 13311117728 in words is "thirteen billion, three hundred eleven million, one hundred seventeen thousand, seven hundred twenty-eight".