138117701 has 2 divisors, whose sum is σ = 138117702. Its totient is φ = 138117700.

The previous prime is 138117689. The next prime is 138117703. The reversal of 138117701 is 107711831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122633476 + 15484225 = 11074^2 + 3935^2 .

It is an emirp because it is prime and its reverse (107711831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138117701 - 2¹⁰ = 138116677 is a prime.

Together with 138117703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138117703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69058850 + 69058851.

It is an arithmetic number, because the mean of its divisors is an integer number (69058851).

Almost surely, 2^138117701 is an apocalyptic number.

It is an amenable number.

138117701 is a deficient number, since it is larger than the sum of its proper divisors (1).

138117701 is an equidigital number, since it uses as much as digits as its factorization.

138117701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 29.

The square root of 138117701 is about 11752.3487439745. The cubic root of 138117701 is about 516.9118007541.

It can be divided in two parts, 13811 and 7701, that added together give a palindrome (21512).

The spelling of 138117701 in words is "one hundred thirty-eight million, one hundred seventeen thousand, seven hundred one".