13030120303232 has 128 divisors (see below), whose sum is σ = 27743704457040. Its totient is φ = 6074465517568.

The previous prime is 13030120303231. The next prime is 13030120303253. The reversal of 13030120303232 is 23230302103031.

13030120303232 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 12218492286016 + 811628017216 = 3495496^2 + 900904^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13030120303198 and 13030120303207.

It is not an unprimeable number, because it can be changed into a prime (13030120303231) 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, 99815348 + ... + 99945804.

Almost surely, 2^{13030120303232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030120303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871852228520).

13030120303232 is an abundant number, since it is smaller than the sum of its proper divisors (14713584153808).

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

13030120303232 is a wasteful number, since it uses less digits than its factorization.

13030120303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130918 (or 130906 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13030120303232 its reverse (23230302103031), we get a palindrome (36260422406263).

The spelling of 13030120303232 in words is "thirteen trillion, thirty billion, one hundred twenty million, three hundred three thousand, two hundred thirty-two".