13200313111101 has 24 divisors (see below), whose sum is σ = 19682455020800. Its totient is φ = 8516215195200.

The previous prime is 13200313111043. The next prime is 13200313111189. The reversal of 13200313111101 is 10111131300231.

13200313111101 is a `hidden beast` number, since 1 + 320 + 0 + 31 + 311 + 1 + 1 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-13200313111101 is a prime.

It is a super-2 number, since 2×13200313111101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200313111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23337606 + ... + 23896536.

Almost surely, 2^{13200313111101} is an apocalyptic number.

It is an amenable number.

13200313111101 is a deficient number, since it is larger than the sum of its proper divisors (6482141909699).

13200313111101 is a wasteful number, since it uses less digits than its factorization.

13200313111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643617 (or 643614 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13200313111101 its reverse (10111131300231), we get a palindrome (23311444411332).

The spelling of 13200313111101 in words is "thirteen trillion, two hundred billion, three hundred thirteen million, one hundred eleven thousand, one hundred one".