131110132011017 has 2 divisors, whose sum is σ = 131110132011018. Its totient is φ = 131110132011016.

The previous prime is 131110132010971. The next prime is 131110132011029. The reversal of 131110132011017 is 710110231011131.

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., 79577532549376 + 51532599461641 = 8920624^2 + 7178621^2 .

It is a cyclic number.

It is not a de Polignac number, because 131110132011017 - 2⁶ = 131110132010953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131110132010983 and 131110132011001.

It is not a weakly prime, because it can be changed into another prime (131110132041017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555066005508 + 65555066005509.

It is an arithmetic number, because the mean of its divisors is an integer number (65555066005509).

Almost surely, 2^{131110132011017} is an apocalyptic number.

It is an amenable number.

131110132011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

131110132011017 is an equidigital number, since it uses as much as digits as its factorization.

131110132011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 131110132011017 its reverse (710110231011131), we get a palindrome (841220363022148).

The spelling of 131110132011017 in words is "one hundred thirty-one trillion, one hundred ten billion, one hundred thirty-two million, eleven thousand, seventeen".