13110441540100 has 36 divisors (see below), whose sum is σ = 28450512124468. Its totient is φ = 5244019200000.

The previous prime is 13110441540059. The next prime is 13110441540127. The reversal of 13110441540100 is 104514401131.

13110441540100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5320883343616 + 7789558196484 = 2306704^2 + 2790978^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409200 + ... + 5311000.

Almost surely, 2^{13110441540100} is an apocalyptic number.

13110441540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110441540100 is an abundant number, since it is smaller than the sum of its proper divisors (15340070584368).

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

13110441540100 is a wasteful number, since it uses less digits than its factorization.

13110441540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935416 (or 3935409 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 13110441540100 its reverse (104514401131), we get a palindrome (13214955941231).

The spelling of 13110441540100 in words is "thirteen trillion, one hundred ten billion, four hundred forty-one million, five hundred forty thousand, one hundred".