13105512013440 has 768 divisors, whose sum is σ = 54285922656000. Its totient is φ = 2629309562880.

The previous prime is 13105512013379. The next prime is 13105512013441. The reversal of 13105512013440 is 4431021550131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13105512013398 and 13105512013407.

It is not an unprimeable number, because it can be changed into a prime (13105512013441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47022016 + ... + 47299904.

It is an arithmetic number, because the mean of its divisors is an integer number (70684795125).

Almost surely, 2^{13105512013440} is an apocalyptic number.

13105512013440 is a gapful number since it is divisible by the number (10) 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 13105512013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27142961328000).

13105512013440 is an abundant number, since it is smaller than the sum of its proper divisors (41180410642560).

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

13105512013440 is a wasteful number, since it uses less digits than its factorization.

13105512013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277969 (or 277946 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13105512013440 its reverse (4431021550131), we get a palindrome (17536533563571).

The spelling of 13105512013440 in words is "thirteen trillion, one hundred five billion, five hundred twelve million, thirteen thousand, four hundred forty".