13300004000 has 96 divisors (see below), whose sum is σ = 33139072512. Its totient is φ = 5244960000.

The previous prime is 13300003993. The next prime is 13300004027. The reversal of 13300004000 is 40000331.

13300004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 260585 + ... + 307415.

It is an arithmetic number, because the mean of its divisors is an integer number (345198672).

Almost surely, 2^13300004000 is an apocalyptic number.

13300004000 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 13300004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569536256).

13300004000 is an abundant number, since it is smaller than the sum of its proper divisors (19839068512).

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

13300004000 is an equidigital number, since it uses as much as digits as its factorization.

13300004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46927 (or 46909 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 13300004000 its reverse (40000331), we get a palindrome (13340004331).

The spelling of 13300004000 in words is "thirteen billion, three hundred million, four thousand".