13106115137 has 2 divisors, whose sum is σ = 13106115138. Its totient is φ = 13106115136.

The previous prime is 13106115131. The next prime is 13106115151. The reversal of 13106115137 is 73151160131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12766966081 + 339149056 = 112991^2 + 18416^2 .

It is a cyclic number.

It is not a de Polignac number, because 13106115137 - 2¹⁶ = 13106049601 is a prime.

It is not a weakly prime, because it can be changed into another prime (13106115131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6553057568 + 6553057569.

It is an arithmetic number, because the mean of its divisors is an integer number (6553057569).

Almost surely, 2^13106115137 is an apocalyptic number.

It is an amenable number.

13106115137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106115137 is an equidigital number, since it uses as much as digits as its factorization.

13106115137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 29.

Adding to 13106115137 its reverse (73151160131), we get a palindrome (86257275268).

The spelling of 13106115137 in words is "thirteen billion, one hundred six million, one hundred fifteen thousand, one hundred thirty-seven".