13001132320200 has 576 divisors, whose sum is σ = 46660959221760. Its totient is φ = 3239161436160.

The previous prime is 13001132320159. The next prime is 13001132320331. The reversal of 13001132320200 is 202323110031.

13001132320200 is a `hidden beast` number, since 1 + 30 + 0 + 113 + 2 + 320 + 200 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165861417 + ... + 165939783.

It is an arithmetic number, because the mean of its divisors is an integer number (81008609760).

Almost surely, 2^{13001132320200} is an apocalyptic number.

13001132320200 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 13001132320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23330479610880).

13001132320200 is an abundant number, since it is smaller than the sum of its proper divisors (33659826901560).

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

13001132320200 is a wasteful number, since it uses less digits than its factorization.

13001132320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78526 (or 78514 counting only the distinct ones).

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

Adding to 13001132320200 its reverse (202323110031), we get a palindrome (13203455430231).

The spelling of 13001132320200 in words is "thirteen trillion, one billion, one hundred thirty-two million, three hundred twenty thousand, two hundred".