13320434410340 has 48 divisors (see below), whose sum is σ = 28921748814000. Its totient is φ = 5149375944192.

The previous prime is 13320434410333. The next prime is 13320434410363. The reversal of 13320434410340 is 4301443402331.

13320434410340 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 8 ways, for example, as 237513921316 + 13082920489024 = 487354^2 + 3617032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13320434410297 and 13320434410306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60294395 + ... + 60514914.

It is an arithmetic number, because the mean of its divisors is an integer number (602536433625).

Almost surely, 2^{13320434410340} is an apocalyptic number.

13320434410340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320434410340 is an abundant number, since it is smaller than the sum of its proper divisors (15601314403660).

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

13320434410340 is a wasteful number, since it uses less digits than its factorization.

13320434410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120809504 (or 120809502 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13320434410340 its reverse (4301443402331), we get a palindrome (17621877812671).

The spelling of 13320434410340 in words is "thirteen trillion, three hundred twenty billion, four hundred thirty-four million, four hundred ten thousand, three hundred forty".