13133321120320 has 112 divisors (see below), whose sum is σ = 32364584953200. Its totient is φ = 5070225735680.

The previous prime is 13133321120207. The next prime is 13133321120329. The reversal of 13133321120320 is 2302112333131.

13133321120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 872847936 + 13132448272384 = 29544^2 + 3623872^2 .

It is not an unprimeable number, because it can be changed into a prime (13133321120329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23940300 + ... + 24482740.

Almost surely, 2^{13133321120320} is an apocalyptic number.

13133321120320 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 13133321120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182292476600).

13133321120320 is an abundant number, since it is smaller than the sum of its proper divisors (19231263832880).

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

13133321120320 is a wasteful number, since it uses less digits than its factorization.

13133321120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545096 (or 545086 counting only the distinct ones).

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

Adding to 13133321120320 its reverse (2302112333131), we get a palindrome (15435433453451).

The spelling of 13133321120320 in words is "thirteen trillion, one hundred thirty-three billion, three hundred twenty-one million, one hundred twenty thousand, three hundred twenty".