13001120332200 has 4608 divisors, whose sum is σ = 64314683596800. Its totient is φ = 2266361856000.

The previous prime is 13001120332171. The next prime is 13001120332217. The reversal of 13001120332200 is 223302110031.

13001120332200 is a `hidden beast` number, since 1 + 300 + 1 + 12 + 0 + 332 + 20 + 0 = 666.

13001120332200 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 1151 ways as a sum of consecutive naturals, for example, 93533239731 + ... + 93533239869.

It is an arithmetic number, because the mean of its divisors is an integer number (13957179600).

Almost surely, 2^{13001120332200} is an apocalyptic number.

13001120332200 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 13001120332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32157341798400).

13001120332200 is an abundant number, since it is smaller than the sum of its proper divisors (51313563264600).

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

13001120332200 is a wasteful number, since it uses less digits than its factorization.

13001120332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

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

Adding to 13001120332200 its reverse (223302110031), we get a palindrome (13224422442231).

The spelling of 13001120332200 in words is "thirteen trillion, one billion, one hundred twenty million, three hundred thirty-two thousand, two hundred".