138812527313 has 2 divisors, whose sum is σ = 138812527314. Its totient is φ = 138812527312.

The previous prime is 138812527309. The next prime is 138812527327. The reversal of 138812527313 is 313725218831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111908982784 + 26903544529 = 334528^2 + 164023^2 .

It is an emirp because it is prime and its reverse (313725218831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138812527313 - 2² = 138812527309 is a prime.

It is not a weakly prime, because it can be changed into another prime (138812527393) 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, 69406263656 + 69406263657.

It is an arithmetic number, because the mean of its divisors is an integer number (69406263657).

Almost surely, 2^138812527313 is an apocalyptic number.

It is an amenable number.

138812527313 is a deficient number, since it is larger than the sum of its proper divisors (1).

138812527313 is an equidigital number, since it uses as much as digits as its factorization.

138812527313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 44.

The spelling of 138812527313 in words is "one hundred thirty-eight billion, eight hundred twelve million, five hundred twenty-seven thousand, three hundred thirteen".