13038145037 has 2 divisors, whose sum is σ = 13038145038. Its totient is φ = 13038145036.

The previous prime is 13038145009. The next prime is 13038145039. The reversal of 13038145037 is 73054183031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10261487401 + 2776657636 = 101299^2 + 52694^2 .

It is a cyclic number.

It is not a de Polignac number, because 13038145037 - 2¹⁰ = 13038144013 is a prime.

Together with 13038145039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13038144988 and 13038145006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13038145039) 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, 6519072518 + 6519072519.

It is an arithmetic number, because the mean of its divisors is an integer number (6519072519).

Almost surely, 2^13038145037 is an apocalyptic number.

It is an amenable number.

13038145037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038145037 is an equidigital number, since it uses as much as digits as its factorization.

13038145037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 13038145037 in words is "thirteen billion, thirty-eight million, one hundred forty-five thousand, thirty-seven".