13003032113 has 2 divisors, whose sum is σ = 13003032114. Its totient is φ = 13003032112.

The previous prime is 13003032067. The next prime is 13003032127. The reversal of 13003032113 is 31123030031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10117945744 + 2885086369 = 100588^2 + 53713^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003032113 - 2⁸ = 13003031857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13003032091 and 13003032100.

It is not a weakly prime, because it can be changed into another prime (13003032143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501516056 + 6501516057.

It is an arithmetic number, because the mean of its divisors is an integer number (6501516057).

Almost surely, 2^13003032113 is an apocalyptic number.

It is an amenable number.

13003032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003032113 is an equidigital number, since it uses as much as digits as its factorization.

13003032113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13003032113 its reverse (31123030031), we get a palindrome (44126062144).

The spelling of 13003032113 in words is "thirteen billion, three million, thirty-two thousand, one hundred thirteen".