13200235535305 has 48 divisors (see below), whose sum is σ = 19893857029200. Its totient is φ = 8334266992128.

The previous prime is 13200235535303. The next prime is 13200235535317. The reversal of 13200235535305 is 50353553200231.

It can be written as a sum of positive squares in 8 ways, for example, as 3488766494976 + 9711469040329 = 1867824^2 + 3116323^2 .

It is not a de Polignac number, because 13200235535305 - 2¹ = 13200235535303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13200235535303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3955330 + ... + 6484219.

It is an arithmetic number, because the mean of its divisors is an integer number (414455354775).

Almost surely, 2^{13200235535305} is an apocalyptic number.

It is an amenable number.

13200235535305 is a deficient number, since it is larger than the sum of its proper divisors (6693621493895).

13200235535305 is a wasteful number, since it uses less digits than its factorization.

13200235535305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439978 (or 10439971 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 37.

Adding to 13200235535305 its reverse (50353553200231), we get a palindrome (63553788735536).

The spelling of 13200235535305 in words is "thirteen trillion, two hundred billion, two hundred thirty-five million, five hundred thirty-five thousand, three hundred five".