1331112 has 32 divisors (see below), whose sum is σ = 3420000. Its totient is φ = 431424.

The previous prime is 1331107. The next prime is 1331119. The reversal of 1331112 is 2111331.

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 not an unprimeable number, because it can be changed into a prime (1331119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (106875).

2^1331112 is an apocalyptic number.

1331112 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 1331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710000).

1331112 is an abundant number, since it is smaller than the sum of its proper divisors (2088888).

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

1331112 is a wasteful number, since it uses less digits than its factorization.

1331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

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

The square root of 1331112 is about 1153.7382718797. The cubic root of 1331112 is about 110.0030853129.

Adding to 1331112 its reverse (2111331), we get a palindrome (3442443).

It can be divided in two parts, 13 and 31112, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 1331112 in words is "one million, three hundred thirty-one thousand, one hundred twelve".