1113114113111 has 48 divisors (see below), whose sum is σ = 1520474522112. Its totient is φ = 792867493440.

The previous prime is 1113114113053. The next prime is 1113114113131.

It is a happy number.

1113114113111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1113114113111 - 2³⁸ = 838236206167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113114113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643400 + ... + 1624866.

It is an arithmetic number, because the mean of its divisors is an integer number (31676552544).

Almost surely, 2^{1113114113111} is an apocalyptic number.

1113114113111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1113114113111 is a deficient number, since it is larger than the sum of its proper divisors (407360409001).

1113114113111 is a wasteful number, since it uses less digits than its factorization.

1113114113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981612 (or 981601 counting only the distinct ones).

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

The spelling of 1113114113111 in words is "one trillion, one hundred thirteen billion, one hundred fourteen million, one hundred thirteen thousand, one hundred eleven".