13331032230240 has 288 divisors, whose sum is σ = 47066321090880. Its totient is φ = 3431958147072.

The previous prime is 13331032230223. The next prime is 13331032230253. The reversal of 13331032230240 is 4203223013331.

13331032230240 is a `hidden beast` number, since 1 + 3 + 3 + 31 + 0 + 322 + 302 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562787677 + ... + 562811363.

It is an arithmetic number, because the mean of its divisors is an integer number (163424726010).

Almost surely, 2^{13331032230240} is an apocalyptic number.

13331032230240 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 13331032230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533160545440).

13331032230240 is an abundant number, since it is smaller than the sum of its proper divisors (33735288860640).

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

13331032230240 is a wasteful number, since it uses less digits than its factorization.

13331032230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37214 (or 37203 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13331032230240 its reverse (4203223013331), we get a palindrome (17534255243571).

The spelling of 13331032230240 in words is "thirteen trillion, three hundred thirty-one billion, thirty-two million, two hundred thirty thousand, two hundred forty".