13331240312 has 128 divisors (see below), whose sum is σ = 28722677760. Its totient is φ = 5754101760.

The previous prime is 13331240311. The next prime is 13331240327. The reversal of 13331240312 is 21304213331.

13331240312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331240311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30930737 + ... + 30931167.

It is an arithmetic number, because the mean of its divisors is an integer number (224395920).

Almost surely, 2^13331240312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361338880).

13331240312 is an abundant number, since it is smaller than the sum of its proper divisors (15391437448).

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

13331240312 is a wasteful number, since it uses less digits than its factorization.

13331240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13331240312 its reverse (21304213331), we get a palindrome (34635453643).

The spelling of 13331240312 in words is "thirteen billion, three hundred thirty-one million, two hundred forty thousand, three hundred twelve".