13331320440 has 128 divisors (see below), whose sum is σ = 42560640000. Its totient is φ = 3328985088.

The previous prime is 13331320439. The next prime is 13331320441. The reversal of 13331320440 is 4402313331.

It is an interprime number because it is at equal distance from previous prime (13331320439) and next prime (13331320441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13331320440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331320441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389541 + ... + 422379.

It is an arithmetic number, because the mean of its divisors is an integer number (332505000).

Almost surely, 2^13331320440 is an apocalyptic number.

13331320440 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 13331320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21280320000).

13331320440 is an abundant number, since it is smaller than the sum of its proper divisors (29229319560).

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

13331320440 is a wasteful number, since it uses less digits than its factorization.

13331320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33069 (or 33065 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13331320440 its reverse (4402313331), we get a palindrome (17733633771).

The spelling of 13331320440 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty thousand, four hundred forty".