13042034513 has 2 divisors, whose sum is σ = 13042034514. Its totient is φ = 13042034512.

The previous prime is 13042034437. The next prime is 13042034531. The reversal of 13042034513 is 31543024031.

13042034513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13042034531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10880993344 + 2161041169 = 104312^2 + 46487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13042034513 is a prime.

It is not a weakly prime, because it can be changed into another prime (13042033513) 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 as a sum of consecutive naturals, namely, 6521017256 + 6521017257.

It is an arithmetic number, because the mean of its divisors is an integer number (6521017257).

Almost surely, 2^13042034513 is an apocalyptic number.

It is an amenable number.

13042034513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13042034513 is an equidigital number, since it uses as much as digits as its factorization.

13042034513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 13042034513 its reverse (31543024031), we get a palindrome (44585058544).

The spelling of 13042034513 in words is "thirteen billion, forty-two million, thirty-four thousand, five hundred thirteen".