13140232034304 has 384 divisors, whose sum is σ = 36024051248640. Its totient is φ = 4258136064000.

The previous prime is 13140232034203. The next prime is 13140232034329. The reversal of 13140232034304 is 40343023204131.

It is a happy number.

13140232034304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18744981154 + ... + 18744981854.

It is an arithmetic number, because the mean of its divisors is an integer number (93812633460).

Almost surely, 2^{13140232034304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140232034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012025624320).

13140232034304 is an abundant number, since it is smaller than the sum of its proper divisors (22883819214336).

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

13140232034304 is an equidigital number, since it uses as much as digits as its factorization.

13140232034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13140232034304 its reverse (40343023204131), we get a palindrome (53483255238435).

The spelling of 13140232034304 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-two million, thirty-four thousand, three hundred four".