13333113444 has 72 divisors (see below), whose sum is σ = 36233477280. Its totient is φ = 3804872064.

The previous prime is 13333113433. The next prime is 13333113461. The reversal of 13333113444 is 44431133331.

13333113444 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 2×13333113444² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 490687 + ... + 517145.

It is an arithmetic number, because the mean of its divisors is an integer number (503242740).

Almost surely, 2^13333113444 is an apocalyptic number.

13333113444 is a gapful number since it is divisible by the number (14) 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 13333113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116738640).

13333113444 is an abundant number, since it is smaller than the sum of its proper divisors (22900363836).

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

13333113444 is a wasteful number, since it uses less digits than its factorization.

13333113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27337 (or 27328 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 13333113444 its reverse (44431133331), we get a palindrome (57764246775).

The spelling of 13333113444 in words is "thirteen billion, three hundred thirty-three million, one hundred thirteen thousand, four hundred forty-four".