13002332230200 has 768 divisors, whose sum is σ = 43880677171200. Its totient is φ = 3177357926400.

The previous prime is 13002332230193. The next prime is 13002332230207. The reversal of 13002332230200 is 203223320031.

It is an interprime number because it is at equal distance from previous prime (13002332230193) and next prime (13002332230207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002332230207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13041456102 + ... + 13041457098.

It is an arithmetic number, because the mean of its divisors is an integer number (57136298400).

Almost surely, 2^{13002332230200} is an apocalyptic number.

13002332230200 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 13002332230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940338585600).

13002332230200 is an abundant number, since it is smaller than the sum of its proper divisors (30878344941000).

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

13002332230200 is a wasteful number, since it uses less digits than its factorization.

13002332230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13002332230200 its reverse (203223320031), we get a palindrome (13205555550231).

The spelling of 13002332230200 in words is "thirteen trillion, two billion, three hundred thirty-two million, two hundred thirty thousand, two hundred".