13201540012300 has 72 divisors (see below), whose sum is σ = 28840011621120. Its totient is φ = 5245108008000.

The previous prime is 13201540012289. The next prime is 13201540012321. The reversal of 13201540012300 is 321004510231.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 168461727 + ... + 168540073.

It is an arithmetic number, because the mean of its divisors is an integer number (400555716960).

Almost surely, 2^{13201540012300} is an apocalyptic number.

13201540012300 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 13201540012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420005810560).

13201540012300 is an abundant number, since it is smaller than the sum of its proper divisors (15638471608820).

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

13201540012300 is a wasteful number, since it uses less digits than its factorization.

13201540012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89671 (or 89664 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13201540012300 its reverse (321004510231), we get a palindrome (13522544522531).

The spelling of 13201540012300 in words is "thirteen trillion, two hundred one billion, five hundred forty million, twelve thousand, three hundred".