1131111312 has 80 divisors (see below), whose sum is σ = 3029062080. Its totient is φ = 363419136.

The previous prime is 1131111283. The next prime is 1131111313. The reversal of 1131111312 is 2131111311.

It is a super-2 number, since 2×1131111312² = 2558825600268722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1131111291 and 1131111300.

It is not an unprimeable number, because it can be changed into a prime (1131111313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190663 + ... + 196505.

It is an arithmetic number, because the mean of its divisors is an integer number (37863276).

Almost surely, 2^1131111312 is an apocalyptic number.

1131111312 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 1131111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514531040).

1131111312 is an abundant number, since it is smaller than the sum of its proper divisors (1897950768).

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

1131111312 is a wasteful number, since it uses less digits than its factorization.

1131111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5994 counting only the distinct ones).

The product of its digits is 18, while the sum is 15.

The square root of 1131111312 is about 33631.9983349191. The cubic root of 1131111312 is about 1041.9217770077.

Adding to 1131111312 its reverse (2131111311), we get a palindrome (3262222623).

Subtracting 1131111312 from its reverse (2131111311), we obtain a palindrome (999999999).

The spelling of 1131111312 in words is "one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred twelve".