13036782137 has 2 divisors, whose sum is σ = 13036782138. Its totient is φ = 13036782136.

The previous prime is 13036782107. The next prime is 13036782169. The reversal of 13036782137 is 73128763031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10693834921 + 2342947216 = 103411^2 + 48404^2 .

It is a cyclic number.

It is not a de Polignac number, because 13036782137 - 2¹⁰ = 13036781113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13036782094 and 13036782103.

It is not a weakly prime, because it can be changed into another prime (13036782107) 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, 6518391068 + 6518391069.

It is an arithmetic number, because the mean of its divisors is an integer number (6518391069).

Almost surely, 2^13036782137 is an apocalyptic number.

It is an amenable number.

13036782137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13036782137 is an equidigital number, since it uses as much as digits as its factorization.

13036782137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 13036782137 in words is "thirteen billion, thirty-six million, seven hundred eighty-two thousand, one hundred thirty-seven".