13121110203300 has 432 divisors, whose sum is σ = 45782411613120. Its totient is φ = 3142527590400.

The previous prime is 13121110203263. The next prime is 13121110203301. The reversal of 13121110203300 is 330201112131.

13121110203300 is a `hidden beast` number, since 1 + 31 + 21 + 110 + 203 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13121110203301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99359716 + ... + 99491684.

It is an arithmetic number, because the mean of its divisors is an integer number (105977804660).

Almost surely, 2^{13121110203300} is an apocalyptic number.

13121110203300 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 13121110203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891205806560).

13121110203300 is an abundant number, since it is smaller than the sum of its proper divisors (32661301409820).

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

13121110203300 is a wasteful number, since it uses less digits than its factorization.

13121110203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132105 (or 132073 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121110203300 its reverse (330201112131), we get a palindrome (13451311315431).

The spelling of 13121110203300 in words is "thirteen trillion, one hundred twenty-one billion, one hundred ten million, two hundred three thousand, three hundred".