13331096064 has 240 divisors, whose sum is σ = 45202981824. Its totient is φ = 3728793600.

The previous prime is 13331096059. The next prime is 13331096083. The reversal of 13331096064 is 46069013331.

13331096064 is a `hidden beast` number, since 1 + 3 + 33 + 10 + 9 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648829 + ... + 669059.

Almost surely, 2^13331096064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22601490912).

13331096064 is an abundant number, since it is smaller than the sum of its proper divisors (31871885760).

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

13331096064 is a wasteful number, since it uses less digits than its factorization.

13331096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20279 (or 20260 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13331096064 in words is "thirteen billion, three hundred thirty-one million, ninety-six thousand, sixty-four".