13110330343040 has 256 divisors, whose sum is σ = 36096426835200. Its totient is φ = 4460222054400.

The previous prime is 13110330343037. The next prime is 13110330343183. The reversal of 13110330343040 is 4034303301131.

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, 2595588515 + ... + 2595593565.

It is an arithmetic number, because the mean of its divisors is an integer number (141001667325).

Almost surely, 2^{13110330343040} is an apocalyptic number.

13110330343040 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 13110330343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048213417600).

13110330343040 is an abundant number, since it is smaller than the sum of its proper divisors (22986096492160).

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

13110330343040 is a wasteful number, since it uses less digits than its factorization.

13110330343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13110330343040 its reverse (4034303301131), we get a palindrome (17144633644171).

The spelling of 13110330343040 in words is "thirteen trillion, one hundred ten billion, three hundred thirty million, three hundred forty-three thousand, forty".