131110110132101 has 2 divisors, whose sum is σ = 131110110132102. Its totient is φ = 131110110132100.

The previous prime is 131110110132019. The next prime is 131110110132167. The reversal of 131110110132101 is 101231011011131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131107652550625 + 2457581476 = 11450225^2 + 49574^2 .

It is an emirp because it is prime and its reverse (101231011011131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131110110132101 - 2⁴² = 126712063620997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131110110132101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131110110131101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555055066050 + 65555055066051.

It is an arithmetic number, because the mean of its divisors is an integer number (65555055066051).

Almost surely, 2^{131110110132101} is an apocalyptic number.

It is an amenable number.

131110110132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131110110132101 is an equidigital number, since it uses as much as digits as its factorization.

131110110132101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 131110110132101 its reverse (101231011011131), we get a palindrome (232341121143232).

The spelling of 131110110132101 in words is "one hundred thirty-one trillion, one hundred ten billion, one hundred ten million, one hundred thirty-two thousand, one hundred one".