13311121313205 has 24 divisors (see below), whose sum is σ = 23072717391360. Its totient is φ = 7099231741920.

The previous prime is 13311121313099. The next prime is 13311121313209. The reversal of 13311121313205 is 50231312111331.

13311121313205 is a `hidden beast` number, since 1 + 3 + 31 + 112 + 1 + 313 + 205 = 666.

13311121313205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13311121313205 is a prime.

It is a super-2 number, since 2×13311121313205² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311121313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11485116 + ... + 12590874.

It is an arithmetic number, because the mean of its divisors is an integer number (961363224640).

Almost surely, 2^{13311121313205} is an apocalyptic number.

13311121313205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13311121313205 is a deficient number, since it is larger than the sum of its proper divisors (9761596078155).

13311121313205 is a wasteful number, since it uses less digits than its factorization.

13311121313205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373281 (or 1373278 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 13311121313205 its reverse (50231312111331), we get a palindrome (63542433424536).

The spelling of 13311121313205 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred five".