1331334312 has 192 divisors, whose sum is σ = 4271279040. Its totient is φ = 341913600.

The previous prime is 1331334299. The next prime is 1331334331. The reversal of 1331334312 is 2134331331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254262 + ... + 1255322.

It is an arithmetic number, because the mean of its divisors is an integer number (22246245).

Almost surely, 2^1331334312 is an apocalyptic number.

1331334312 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 1331334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135639520).

1331334312 is an abundant number, since it is smaller than the sum of its proper divisors (2939944728).

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

1331334312 is a wasteful number, since it uses less digits than its factorization.

1331334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 1331334312 is about 36487.4541726331. The cubic root of 1331334312 is about 1100.0920892600.

Adding to 1331334312 its reverse (2134331331), we get a palindrome (3465665643).

The spelling of 1331334312 in words is "one billion, three hundred thirty-one million, three hundred thirty-four thousand, three hundred twelve".