13124414441344 has 128 divisors (see below), whose sum is σ = 26882238801600. Its totient is φ = 6380417433600.

The previous prime is 13124414441329. The next prime is 13124414441357. The reversal of 13124414441344 is 44314441442131.

13124414441344 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 13124414441297 and 13124414441306.

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, 235984612 + ... + 236040220.

Almost surely, 2^{13124414441344} 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 13124414441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441119400800).

13124414441344 is an abundant number, since it is smaller than the sum of its proper divisors (13757824360256).

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

13124414441344 is a wasteful number, since it uses less digits than its factorization.

13124414441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56032 (or 56020 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 13124414441344 its reverse (44314441442131), we get a palindrome (57438855883475).

The spelling of 13124414441344 in words is "thirteen trillion, one hundred twenty-four billion, four hundred fourteen million, four hundred forty-one thousand, three hundred forty-four".