11113101330111 has 192 divisors, whose sum is σ = 18761875292160. Its totient is φ = 6274835424000.

The previous prime is 11113101330103. The next prime is 11113101330119. The reversal of 11113101330111 is 11103310131111.

11113101330111 is a `hidden beast` number, since 1 + 1 + 11 + 310 + 1 + 330 + 1 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (11113101330103) and next prime (11113101330119).

It is not a de Polignac number, because 11113101330111 - 2³ = 11113101330103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113101330119) 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, 6232809726 + ... + 6232811508.

It is an arithmetic number, because the mean of its divisors is an integer number (97718100480).

Almost surely, 2^{11113101330111} is an apocalyptic number.

11113101330111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113101330111 is a deficient number, since it is larger than the sum of its proper divisors (7648773962049).

11113101330111 is a wasteful number, since it uses less digits than its factorization.

11113101330111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2415 counting only the distinct ones).

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

Adding to 11113101330111 its reverse (11103310131111), we get a palindrome (22216411461222).

The spelling of 11113101330111 in words is "eleven trillion, one hundred thirteen billion, one hundred one million, three hundred thirty thousand, one hundred eleven".