1131312 has 120 divisors (see below), whose sum is σ = 3760176. Its totient is φ = 290304.

The previous prime is 1131307. The next prime is 1131323. The reversal of 1131312 is 2131311.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30558 + ... + 30594.

2^1131312 is an apocalyptic number.

1131312 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 1131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880088).

1131312 is an abundant number, since it is smaller than the sum of its proper divisors (2628864).

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

1131312 is a wasteful number, since it uses less digits than its factorization.

1131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its digits is 18, while the sum is 12.

The square root of 1131312 is about 1063.6315151405. The cubic root of 1131312 is about 104.1983394531.

Adding to 1131312 its reverse (2131311), we get a palindrome (3262623).

Subtracting 1131312 from its reverse (2131311), we obtain a palindrome (999999).

It can be divided in two parts, 11313 and 12, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 1131312 in words is "one million, one hundred thirty-one thousand, three hundred twelve".