11311322112 has 110 divisors (see below), whose sum is σ = 33778066938. Its totient is φ = 3770413056.

The previous prime is 11311322107. The next prime is 11311322149. The reversal of 11311322112 is 21122311311.

It can be written as a sum of positive squares in only one way, i.e., 10869313536 + 442008576 = 104256^2 + 21024^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (36) and by the product (5184) of the squares of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14758 + ... + 151130.

Almost surely, 2^11311322112 is an apocalyptic number.

11311322112 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 11311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889033469).

11311322112 is an abundant number, since it is smaller than the sum of its proper divisors (22466744826).

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

11311322112 is an equidigital number, since it uses as much as digits as its factorization.

11311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136405 (or 136378 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11311322112 its reverse (21122311311), we get a palindrome (32433633423).

The spelling of 11311322112 in words is "eleven billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".