13380321024 has 324 divisors, whose sum is σ = 46837614096. Its totient is φ = 3656024064.

The previous prime is 13380320971. The next prime is 13380321043. The reversal of 13380321024 is 42012308331.

13380321024 is a `hidden beast` number, since 1 + 338 + 0 + 321 + 0 + 2 + 4 = 666.

13380321024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2594032 + ... + 2599184.

Almost surely, 2^13380321024 is an apocalyptic number.

13380321024 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 13380321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23418807048).

13380321024 is an abundant number, since it is smaller than the sum of its proper divisors (33457293072).

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

13380321024 is a wasteful number, since it uses less digits than its factorization.

13380321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13380321024 its reverse (42012308331), we get a palindrome (55392629355).

The spelling of 13380321024 in words is "thirteen billion, three hundred eighty million, three hundred twenty-one thousand, twenty-four".