13313312112 has 80 divisors (see below), whose sum is σ = 35818020000. Its totient is φ = 4255921152.

The previous prime is 13313312101. The next prime is 13313312137. The reversal of 13313312112 is 21121331331.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175314 + ... + 239502.

It is an arithmetic number, because the mean of its divisors is an integer number (447725250).

Almost surely, 2^13313312112 is an apocalyptic number.

13313312112 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 13313312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909010000).

13313312112 is an abundant number, since it is smaller than the sum of its proper divisors (22504707888).

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

13313312112 is a wasteful number, since it uses less digits than its factorization.

13313312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64378 (or 64372 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13313312112 its reverse (21121331331), we get a palindrome (34434643443).

The spelling of 13313312112 in words is "thirteen billion, three hundred thirteen million, three hundred twelve thousand, one hundred twelve".