13110314000240 has 40 divisors (see below), whose sum is σ = 30484527927840. Its totient is φ = 5243601234176.

The previous prime is 13110314000239. The next prime is 13110314000279. The reversal of 13110314000240 is 4200041301131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7387655 + ... + 8988774.

It is an arithmetic number, because the mean of its divisors is an integer number (762113198196).

Almost surely, 2^{13110314000240} is an apocalyptic number.

13110314000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110314000240 is an abundant number, since it is smaller than the sum of its proper divisors (17374213927600).

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

13110314000240 is a wasteful number, since it uses less digits than its factorization.

13110314000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16386449 (or 16386443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13110314000240 its reverse (4200041301131), we get a palindrome (17310355301371).

The spelling of 13110314000240 in words is "thirteen trillion, one hundred ten billion, three hundred fourteen million, two hundred forty", and thus it is an aban number.