13333313112 has 64 divisors (see below), whose sum is σ = 40336081920. Its totient is φ = 3585427968.

The previous prime is 13333313089. The next prime is 13333313117. The reversal of 13333313112 is 21131333331.

13333313112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13333313112² (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (13333313117) 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 15 ways as a sum of consecutive naturals, for example, 2331408 + ... + 2337119.

It is an arithmetic number, because the mean of its divisors is an integer number (630251280).

Almost surely, 2^13333313112 is an apocalyptic number.

13333313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13333313112 is an abundant number, since it is smaller than the sum of its proper divisors (27002768808).

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

13333313112 is a wasteful number, since it uses less digits than its factorization.

13333313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668560 (or 4668556 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

Adding to 13333313112 its reverse (21131333331), we get a palindrome (34464646443).

The spelling of 13333313112 in words is "thirteen billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twelve".