1113112113111 has 48 divisors (see below), whose sum is σ = 1633168387968. Its totient is φ = 730477440000.

The previous prime is 1113112113109. The next prime is 1113112113119.

It is a happy number.

1113112113111 is a `hidden beast` number, since 11 + 131 + 1 + 211 + 311 + 1 = 666.

1113112113111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1113112113111 - 2¹ = 1113112113109 is a prime.

It is a super-3 number, since 3×1113112113111³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113112113119) 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 47 ways as a sum of consecutive naturals, for example, 112419261 + ... + 112429161.

It is an arithmetic number, because the mean of its divisors is an integer number (34024341416).

Almost surely, 2^{1113112113111} is an apocalyptic number.

1113112113111 is a deficient number, since it is larger than the sum of its proper divisors (520056274857).

1113112113111 is a wasteful number, since it uses less digits than its factorization.

1113112113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10709 counting only the distinct ones).

The product of its digits is 18, while the sum is 18.

The spelling of 1113112113111 in words is "one trillion, one hundred thirteen billion, one hundred twelve million, one hundred thirteen thousand, one hundred eleven".