13341201300224 has 288 divisors, whose sum is σ = 33570551347200. Its totient is φ = 5161060270080.

The previous prime is 13341201300209. The next prime is 13341201300233. The reversal of 13341201300224 is 42200310214331.

It is a junction number, because it is equal to n+sod(n) for n = 13341201300193 and 13341201300202.

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 31 ways as a sum of consecutive naturals, for example, 73601897 + ... + 73782935.

It is an arithmetic number, because the mean of its divisors is an integer number (116564414400).

Almost surely, 2^{13341201300224} is an apocalyptic number.

13341201300224 is a gapful number since it is divisible by the number (14) 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 13341201300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785275673600).

13341201300224 is an abundant number, since it is smaller than the sum of its proper divisors (20229350046976).

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

13341201300224 is a wasteful number, since it uses less digits than its factorization.

13341201300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181179 (or 181165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13341201300224 its reverse (42200310214331), we get a palindrome (55541511514555).

The spelling of 13341201300224 in words is "thirteen trillion, three hundred forty-one billion, two hundred one million, three hundred thousand, two hundred twenty-four".