13138311648 has 384 divisors, whose sum is σ = 44637336576. Its totient is φ = 3311953920.

The previous prime is 13138311607. The next prime is 13138311649. The reversal of 13138311648 is 84611383131.

13138311648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138311649) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33093786 + ... + 33094182.

It is an arithmetic number, because the mean of its divisors is an integer number (116243064).

Almost surely, 2^13138311648 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 13138311648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22318668288).

13138311648 is an abundant number, since it is smaller than the sum of its proper divisors (31499024928).

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

13138311648 is a wasteful number, since it uses less digits than its factorization.

13138311648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 457 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

Adding to 13138311648 its reverse (84611383131), we get a palindrome (97749694779).

The spelling of 13138311648 in words is "thirteen billion, one hundred thirty-eight million, three hundred eleven thousand, six hundred forty-eight".