13130301033 has 12 divisors (see below), whose sum is σ = 20081637108. Its totient is φ = 8238620160.

The previous prime is 13130300957. The next prime is 13130301047. The reversal of 13130301033 is 33010303131.

13130301033 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 2 ways, for example, as 10566195264 + 2564105769 = 102792^2 + 50637^2 .

It is not a de Polignac number, because 13130301033 - 2¹⁶ = 13130235497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130300997 and 13130301015.

It is not an unprimeable number, because it can be changed into a prime (13130301083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42909328 + ... + 42909633.

It is an arithmetic number, because the mean of its divisors is an integer number (1673469759).

Almost surely, 2^13130301033 is an apocalyptic number.

It is an amenable number.

13130301033 is a deficient number, since it is larger than the sum of its proper divisors (6951336075).

13130301033 is a wasteful number, since it uses less digits than its factorization.

13130301033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85818984 (or 85818981 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13130301033 its reverse (33010303131), we get a palindrome (46140604164).

The spelling of 13130301033 in words is "thirteen billion, one hundred thirty million, three hundred one thousand, thirty-three".