13331320002 has 192 divisors, whose sum is σ = 39832176384. Its totient is φ = 3109777920.

The previous prime is 13331320001. The next prime is 13331320031. The reversal of 13331320002 is 20002313331.

13331320002 is a `hidden beast` number, since 13 + 331 + 320 + 0 + 0 + 2 = 666.

13331320002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13331320001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 656668 + ... + 676664.

It is an arithmetic number, because the mean of its divisors is an integer number (207459252).

Almost surely, 2^13331320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916088192).

13331320002 is an abundant number, since it is smaller than the sum of its proper divisors (26500856382).

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

13331320002 is a wasteful number, since it uses less digits than its factorization.

13331320002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20073 (or 20070 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13331320002 its reverse (20002313331), we get a palindrome (33333633333).

It can be divided in two parts, 13331 and 320002, that added together give a palindrome (333333).

The spelling of 13331320002 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty thousand, two".