13320000333000 has 384 divisors, whose sum is σ = 47110886241120. Its totient is φ = 3390788044800.

The previous prime is 13320000332999. The next prime is 13320000333043. The reversal of 13320000333000 is 33300002331.

13320000333000 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 0 + 0 + 3 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2440175155236 + 10879825177764 = 1562106^2 + 3298458^2 .

It is a super-2 number, since 2×13320000333000² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 17271642 + ... + 18026358.

Almost surely, 2^{13320000333000} is an apocalyptic number.

13320000333000 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 13320000333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23555443120560).

13320000333000 is an abundant number, since it is smaller than the sum of its proper divisors (33790885908120).

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

13320000333000 is a wasteful number, since it uses less digits than its factorization.

13320000333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754834 (or 754817 counting only the distinct ones).

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

Adding to 13320000333000 its reverse (33300002331), we get a palindrome (13353300335331).

The spelling of 13320000333000 in words is "thirteen trillion, three hundred twenty billion, three hundred thirty-three thousand".