138667131187201 has 2 divisors, whose sum is σ = 138667131187202. Its totient is φ = 138667131187200.

The previous prime is 138667131187199. The next prime is 138667131187217. The reversal of 138667131187201 is 102781131766831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138632350802176 + 34780385025 = 11774224^2 + 186495^2 .

It is a cyclic number.

It is not a de Polignac number, because 138667131187201 - 2¹ = 138667131187199 is a prime.

Together with 138667131187199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (138667131187261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69333565593600 + 69333565593601.

It is an arithmetic number, because the mean of its divisors is an integer number (69333565593601).

Almost surely, 2^{138667131187201} is an apocalyptic number.

It is an amenable number.

138667131187201 is a deficient number, since it is larger than the sum of its proper divisors (1).

138667131187201 is an equidigital number, since it uses as much as digits as its factorization.

138667131187201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 138667131187201 in words is "one hundred thirty-eight trillion, six hundred sixty-seven billion, one hundred thirty-one million, one hundred eighty-seven thousand, two hundred one".