13300333002000 has 800 divisors, whose sum is σ = 52478831104128. Its totient is φ = 3220041600000.

The previous prime is 13300333001987. The next prime is 13300333002017. The reversal of 13300333002000 is 20033300331.

13300333002000 is a `hidden beast` number, since 1 + 330 + 0 + 3 + 330 + 0 + 2 + 0 + 0 + 0 = 666.

13300333002000 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1463017455 + ... + 1463026545.

Almost surely, 2^{13300333002000} is an apocalyptic number.

13300333002000 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 13300333002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26239415552064).

13300333002000 is an abundant number, since it is smaller than the sum of its proper divisors (39178498102128).

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

13300333002000 is a wasteful number, since it uses less digits than its factorization.

13300333002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13300333002000 its reverse (20033300331), we get a palindrome (13320366302331).

The spelling of 13300333002000 in words is "thirteen trillion, three hundred billion, three hundred thirty-three million, two thousand".