13132023137 has 2 divisors, whose sum is σ = 13132023138. Its totient is φ = 13132023136.

The previous prime is 13132023103. The next prime is 13132023169. The reversal of 13132023137 is 73132023131.

13132023137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6667702336 + 6464320801 = 81656^2 + 80401^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132023137 - 2²⁴ = 13115245921 is a prime.

It is not a weakly prime, because it can be changed into another prime (13132023187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566011568 + 6566011569.

It is an arithmetic number, because the mean of its divisors is an integer number (6566011569).

Almost surely, 2^13132023137 is an apocalyptic number.

It is an amenable number.

13132023137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132023137 is an equidigital number, since it uses as much as digits as its factorization.

13132023137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13132023137 its reverse (73132023131), we get a palindrome (86264046268).

The spelling of 13132023137 in words is "thirteen billion, one hundred thirty-two million, twenty-three thousand, one hundred thirty-seven".