1311233112 has 96 divisors (see below), whose sum is σ = 4115854080. Its totient is φ = 369351360.

The previous prime is 1311233107. The next prime is 1311233159. The reversal of 1311233112 is 2113321131.

It is a super-3 number, since 3×1311233112³ (a number of 28 digits) contains 333 as substring.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17463 + ... + 54105.

It is an arithmetic number, because the mean of its divisors is an integer number (42873480).

Almost surely, 2^1311233112 is an apocalyptic number.

1311233112 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 1311233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057927040).

1311233112 is an abundant number, since it is smaller than the sum of its proper divisors (2804620968).

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

1311233112 is a wasteful number, since it uses less digits than its factorization.

1311233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36733 (or 36726 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311233112 is about 36210.9529286375. The cubic root of 1311233112 is about 1094.5273947254.

Adding to 1311233112 its reverse (2113321131), we get a palindrome (3424554243).

The spelling of 1311233112 in words is "one billion, three hundred eleven million, two hundred thirty-three thousand, one hundred twelve".