13302300123200 has 168 divisors, whose sum is σ = 35712191252640. Its totient is φ = 4836578918400.

The previous prime is 13302300123191. The next prime is 13302300123241. The reversal of 13302300123200 is 232100320331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150242144 + ... + 150330656.

It is an arithmetic number, because the mean of its divisors is an integer number (212572566980).

Almost surely, 2^{13302300123200} is an apocalyptic number.

13302300123200 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 13302300123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856095626320).

13302300123200 is an abundant number, since it is smaller than the sum of its proper divisors (22409891129440).

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

13302300123200 is a wasteful number, since it uses less digits than its factorization.

13302300123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97085 (or 97070 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13302300123200 its reverse (232100320331), we get a palindrome (13534400443531).

The spelling of 13302300123200 in words is "thirteen trillion, three hundred two billion, three hundred million, one hundred twenty-three thousand, two hundred".