13023300330000 has 1200 divisors, whose sum is σ = 49739264340480. Its totient is φ = 3166636032000.

The previous prime is 13023300329951. The next prime is 13023300330023. The reversal of 13023300330000 is 3300332031.

13023300330000 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 330 + 0 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 239 ways as a sum of consecutive naturals, for example, 21455189697 + ... + 21455190303.

Almost surely, 2^{13023300330000} is an apocalyptic number.

13023300330000 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 13023300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24869632170240).

13023300330000 is an abundant number, since it is smaller than the sum of its proper divisors (36715964010480).

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

13023300330000 is a wasteful number, since it uses less digits than its factorization.

13023300330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1050 counting only the distinct ones).

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

Adding to 13023300330000 its reverse (3300332031), we get a palindrome (13026600662031).

The spelling of 13023300330000 in words is "thirteen trillion, twenty-three billion, three hundred million, three hundred thirty thousand".