13110112101040 has 80 divisors (see below), whose sum is σ = 31103256808800. Its totient is φ = 5137292066816.

The previous prime is 13110112100887. The next prime is 13110112101043. The reversal of 13110112101040 is 4010121101131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13110112101043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 448176 + ... + 5140144.

It is an arithmetic number, because the mean of its divisors is an integer number (388790710110).

Almost surely, 2^{13110112101040} is an apocalyptic number.

13110112101040 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 13110112101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551628404400).

13110112101040 is an abundant number, since it is smaller than the sum of its proper divisors (17993144707760).

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

13110112101040 is a wasteful number, since it uses less digits than its factorization.

13110112101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692694 (or 4692688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13110112101040 its reverse (4010121101131), we get a palindrome (17120233202171).

Subtracting from 13110112101040 its reverse (4010121101131), we obtain a palindrome (9099990999909).

The spelling of 13110112101040 in words is "thirteen trillion, one hundred ten billion, one hundred twelve million, one hundred one thousand, forty".