137631101 has 2 divisors, whose sum is σ = 137631102. Its totient is φ = 137631100.

The previous prime is 137631077. The next prime is 137631119. The reversal of 137631101 is 101136731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86508601 + 51122500 = 9301^2 + 7150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137631101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137631121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68815550 + 68815551.

It is an arithmetic number, because the mean of its divisors is an integer number (68815551).

Almost surely, 2^137631101 is an apocalyptic number.

It is an amenable number.

137631101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137631101 is an equidigital number, since it uses as much as digits as its factorization.

137631101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 137631101 is about 11731.6282331141. The cubic root of 137631101 is about 516.3040455665.

Adding to 137631101 its reverse (101136731), we get a palindrome (238767832).

The spelling of 137631101 in words is "one hundred thirty-seven million, six hundred thirty-one thousand, one hundred one".