1111111113312 has 120 divisors (see below), whose sum is σ = 3279545959536. Its totient is φ = 369033055488.

The previous prime is 1111111113121. The next prime is 1111111113313. The reversal of 1111111113312 is 2133111111111.

It is a happy number.

1111111113312 is a `hidden beast` number, since 111 + 111 + 111 + 331 + 2 = 666.

It is a super-3 number, since 3×1111111113312³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (32) and by the product (324) of the squares of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111113313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55788 + ... + 1491755.

Almost surely, 2^{1111111113312} is an apocalyptic number.

1111111113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111111113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639772979768).

1111111113312 is an abundant number, since it is smaller than the sum of its proper divisors (2168434846224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1111111113312 is a wasteful number, since it uses less digits than its factorization.

1111111113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547842 (or 1547825 counting only the distinct ones).

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

Adding to 1111111113312 its reverse (2133111111111), we get a palindrome (3244222224423).

The spelling of 1111111113312 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred thirteen thousand, three hundred twelve".