13233313012320 has 288 divisors, whose sum is σ = 46843347751200. Its totient is φ = 3527969955840.

The previous prime is 13233313012307. The next prime is 13233313012327. The reversal of 13233313012320 is 2321031333231.

13233313012320 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 31 + 301 + 2 + 320 = 666.

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

It is a super-3 number, since 3×13233313012320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233313012327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157383090 + ... + 157467150.

It is an arithmetic number, because the mean of its divisors is an integer number (162650513025).

Almost surely, 2^{13233313012320} is an apocalyptic number.

13233313012320 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 13233313012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23421673875600).

13233313012320 is an abundant number, since it is smaller than the sum of its proper divisors (33610034738880).

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

13233313012320 is an equidigital number, since it uses as much as digits as its factorization.

13233313012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88140 (or 88120 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13233313012320 its reverse (2321031333231), we get a palindrome (15554344345551).

The spelling of 13233313012320 in words is "thirteen trillion, two hundred thirty-three billion, three hundred thirteen million, twelve thousand, three hundred twenty".