11113122131111 has 192 divisors, whose sum is σ = 15983225856000. Its totient is φ = 7647473433600.

The previous prime is 11113122130969. The next prime is 11113122131117.

11113122131111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11113122131111 - 2¹⁰ = 11113122130087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113122131117) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1759237325 + ... + 1759243641.

It is an arithmetic number, because the mean of its divisors is an integer number (83245968000).

Almost surely, 2^{11113122131111} is an apocalyptic number.

11113122131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113122131111 is a deficient number, since it is larger than the sum of its proper divisors (4870103724889).

11113122131111 is a wasteful number, since it uses less digits than its factorization.

11113122131111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6468 counting only the distinct ones).

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 1111312 and 2131111, that added together give a palindrome (3242423).

The spelling of 11113122131111 in words is "eleven trillion, one hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred eleven".