13110340304000 has 64 divisors (see below), whose sum is σ = 32595583620600. Its totient is φ = 5244136115200.

The previous prime is 13110340303997. The next prime is 13110340304029. The reversal of 13110340304000 is 40304301131.

It can be written as a sum of positive squares in 4 ways, for example, as 3935208517696 + 9175131786304 = 1983736^2 + 3029048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 409682135 + ... + 409714134.

Almost surely, 2^{13110340304000} is an apocalyptic number.

13110340304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110340304000 is an abundant number, since it is smaller than the sum of its proper divisors (19485243316600).

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

13110340304000 is an frugal number, since it uses more digits than its factorization.

13110340304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819396298 (or 819396276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13110340304000 its reverse (40304301131), we get a palindrome (13150644605131).

The spelling of 13110340304000 in words is "thirteen trillion, one hundred ten billion, three hundred forty million, three hundred four thousand".