13032010312200 has 960 divisors, whose sum is σ = 50334506956800. Its totient is φ = 3098421849600.

The previous prime is 13032010312199. The next prime is 13032010312241. The reversal of 13032010312200 is 221301023031.

13032010312200 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 10 + 312 + 20 + 0 = 666.

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, 2853514317 + ... + 2853518883.

It is an arithmetic number, because the mean of its divisors is an integer number (52431778080).

Almost surely, 2^{13032010312200} is an apocalyptic number.

13032010312200 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 13032010312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25167253478400).

13032010312200 is an abundant number, since it is smaller than the sum of its proper divisors (37302496644600).

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

13032010312200 is a wasteful number, since it uses less digits than its factorization.

13032010312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13032010312200 its reverse (221301023031), we get a palindrome (13253311335231).

The spelling of 13032010312200 in words is "thirteen trillion, thirty-two billion, ten million, three hundred twelve thousand, two hundred".