13130333221120 has 288 divisors, whose sum is σ = 32236884320256. Its totient is φ = 5122768896000.

The previous prime is 13130333221097. The next prime is 13130333221199. The reversal of 13130333221120 is 2112233303131.

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 31 ways as a sum of consecutive naturals, for example, 4628244342 + ... + 4628247178.

It is an arithmetic number, because the mean of its divisors is an integer number (111933626112).

Almost surely, 2^{13130333221120} is an apocalyptic number.

13130333221120 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 13130333221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118442160128).

13130333221120 is an abundant number, since it is smaller than the sum of its proper divisors (19106551099136).

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

13130333221120 is a wasteful number, since it uses less digits than its factorization.

13130333221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13130333221120 its reverse (2112233303131), we get a palindrome (15242566524251).

The spelling of 13130333221120 in words is "thirteen trillion, one hundred thirty billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".