13300413102200 has 96 divisors (see below), whose sum is σ = 35352282725760. Its totient is φ = 4558698403200.

The previous prime is 13300413102181. The next prime is 13300413102203. The reversal of 13300413102200 is 220131400331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300413102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2926415 + ... + 5929985.

It is an arithmetic number, because the mean of its divisors is an integer number (368252945060).

Almost surely, 2^{13300413102200} is an apocalyptic number.

13300413102200 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 13300413102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676141362880).

13300413102200 is an abundant number, since it is smaller than the sum of its proper divisors (22051869623560).

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

13300413102200 is a wasteful number, since it uses less digits than its factorization.

13300413102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006757 (or 3006748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13300413102200 its reverse (220131400331), we get a palindrome (13520544502531).

The spelling of 13300413102200 in words is "thirteen trillion, three hundred billion, four hundred thirteen million, one hundred two thousand, two hundred".