131108636101 has 2 divisors, whose sum is σ = 131108636102. Its totient is φ = 131108636100.

The previous prime is 131108636077. The next prime is 131108636111. The reversal of 131108636101 is 101636801131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115664609025 + 15444027076 = 340095^2 + 124274^2 .

It is a cyclic number.

It is not a de Polignac number, because 131108636101 - 2⁵ = 131108636069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131108636111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65554318050 + 65554318051.

It is an arithmetic number, because the mean of its divisors is an integer number (65554318051).

Almost surely, 2^131108636101 is an apocalyptic number.

It is an amenable number.

131108636101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131108636101 is an equidigital number, since it uses as much as digits as its factorization.

131108636101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 131108636101 in words is "one hundred thirty-one billion, one hundred eight million, six hundred thirty-six thousand, one hundred one".