13813347137 has 2 divisors, whose sum is σ = 13813347138. Its totient is φ = 13813347136.

The previous prime is 13813347131. The next prime is 13813347181. The reversal of 13813347137 is 73174331831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13254686641 + 558660496 = 115129^2 + 23636^2 .

It is an emirp because it is prime and its reverse (73174331831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13813347137 - 2⁸ = 13813346881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13813347094 and 13813347103.

It is not a weakly prime, because it can be changed into another prime (13813347131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906673568 + 6906673569.

It is an arithmetic number, because the mean of its divisors is an integer number (6906673569).

Almost surely, 2^13813347137 is an apocalyptic number.

It is an amenable number.

13813347137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813347137 is an equidigital number, since it uses as much as digits as its factorization.

13813347137 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13813347137 its reverse (73174331831), we get a palindrome (86987678968).

The spelling of 13813347137 in words is "thirteen billion, eight hundred thirteen million, three hundred forty-seven thousand, one hundred thirty-seven".