13311144312201 has 12 divisors (see below), whose sum is σ = 20358220713012. Its totient is φ = 8352090548736.

The previous prime is 13311144312187. The next prime is 13311144312203. The reversal of 13311144312201 is 10221344111331.

13311144312201 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 1 + 4 + 431 + 220 + 1 = 666.

13311144312201 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 2 ways, for example, as 3683900583801 + 9627243728400 = 1919349^2 + 3102780^2 .

It is not a de Polignac number, because 13311144312201 - 2¹³ = 13311144304009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13311144312203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43500471456 + ... + 43500471761.

It is an arithmetic number, because the mean of its divisors is an integer number (1696518392751).

Almost surely, 2^{13311144312201} is an apocalyptic number.

It is an amenable number.

13311144312201 is a deficient number, since it is larger than the sum of its proper divisors (7047076400811).

13311144312201 is a wasteful number, since it uses less digits than its factorization.

13311144312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87000943240 (or 87000943237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13311144312201 its reverse (10221344111331), we get a palindrome (23532488423532).

The spelling of 13311144312201 in words is "thirteen trillion, three hundred eleven billion, one hundred forty-four million, three hundred twelve thousand, two hundred one".