13321176064 has 352 divisors, whose sum is σ = 34664716800. Its totient is φ = 5086642176.

The previous prime is 13321176023. The next prime is 13321176073. The reversal of 13321176064 is 46067112331.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137331664 + ... + 137331760.

Almost surely, 2^13321176064 is an apocalyptic number.

13321176064 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 13321176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332358400).

13321176064 is an abundant number, since it is smaller than the sum of its proper divisors (21343540736).

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

13321176064 is an equidigital number, since it uses as much as digits as its factorization.

13321176064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 13321176064 its reverse (46067112331), we get a palindrome (59388288395).

The spelling of 13321176064 in words is "thirteen billion, three hundred twenty-one million, one hundred seventy-six thousand, sixty-four".