13333111040 has 144 divisors (see below), whose sum is σ = 33656732928. Its totient is φ = 5050687488.

The previous prime is 13333111039. The next prime is 13333111111. The reversal of 13333111040 is 4011133331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3030122 + ... + 3034518.

It is an arithmetic number, because the mean of its divisors is an integer number (233727312).

Almost surely, 2^13333111040 is an apocalyptic number.

13333111040 is a gapful number since it is divisible by the number (10) 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 13333111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828366464).

13333111040 is an abundant number, since it is smaller than the sum of its proper divisors (20323621888).

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

13333111040 is a wasteful number, since it uses less digits than its factorization.

13333111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13333111040 its reverse (4011133331), we get a palindrome (17344244371).

The spelling of 13333111040 in words is "thirteen billion, three hundred thirty-three million, one hundred eleven thousand, forty".