13113011311101 has 48 divisors (see below), whose sum is σ = 20425361785920. Its totient is φ = 8058735118080.

The previous prime is 13113011311051. The next prime is 13113011311139. The reversal of 13113011311101 is 10111311031131.

13113011311101 is a `hidden beast` number, since 1 + 311 + 30 + 1 + 1 + 311 + 10 + 1 = 666.

It is not a de Polignac number, because 13113011311101 - 2¹⁷ = 13113011180029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113011311171) 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, 280883481 + ... + 280930161.

It is an arithmetic number, because the mean of its divisors is an integer number (425528370540).

Almost surely, 2^{13113011311101} is an apocalyptic number.

It is an amenable number.

13113011311101 is a deficient number, since it is larger than the sum of its proper divisors (7312350474819).

13113011311101 is a wasteful number, since it uses less digits than its factorization.

13113011311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49866 (or 49863 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 13113011311101 its reverse (10111311031131), we get a palindrome (23224322342232).

The spelling of 13113011311101 in words is "thirteen trillion, one hundred thirteen billion, eleven million, three hundred eleven thousand, one hundred one".