13105405521544 has 128 divisors (see below), whose sum is σ = 29611047813120. Its totient is φ = 5318813664000.

The previous prime is 13105405521521. The next prime is 13105405521553. The reversal of 13105405521544 is 44512550450131.

It is a junction number, because it is equal to n+sod(n) for n = 13105405521497 and 13105405521506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607931214 + ... + 607952770.

It is an arithmetic number, because the mean of its divisors is an integer number (231336311040).

Almost surely, 2^{13105405521544} is an apocalyptic number.

13105405521544 is a gapful number since it is divisible by the number (14) 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 13105405521544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805523906560).

13105405521544 is an abundant number, since it is smaller than the sum of its proper divisors (16505642291576).

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

13105405521544 is a wasteful number, since it uses less digits than its factorization.

13105405521544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29099 (or 29095 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 13105405521544 its reverse (44512550450131), we get a palindrome (57617955971675).

The spelling of 13105405521544 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred twenty-one thousand, five hundred forty-four".