12511434330137 has 2 divisors, whose sum is σ = 12511434330138. Its totient is φ = 12511434330136.

The previous prime is 12511434330107. The next prime is 12511434330149. The reversal of 12511434330137 is 73103343411521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11669951009161 + 841483320976 = 3416131^2 + 917324^2 .

It is an emirp because it is prime and its reverse (73103343411521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12511434330137 - 2¹⁴ = 12511434313753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12511434330137.

It is not a weakly prime, because it can be changed into another prime (12511434330107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6255717165068 + 6255717165069.

It is an arithmetic number, because the mean of its divisors is an integer number (6255717165069).

Almost surely, 2^{12511434330137} is an apocalyptic number.

It is an amenable number.

12511434330137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12511434330137 is an equidigital number, since it uses as much as digits as its factorization.

12511434330137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 38.

Adding to 12511434330137 its reverse (73103343411521), we get a palindrome (85614777741658).

The spelling of 12511434330137 in words is "twelve trillion, five hundred eleven billion, four hundred thirty-four million, three hundred thirty thousand, one hundred thirty-seven".