131011011017 has 2 divisors, whose sum is σ = 131011011018. Its totient is φ = 131011011016.

The previous prime is 131011010983. The next prime is 131011011133. The reversal of 131011011017 is 710110110131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121510805056 + 9500205961 = 348584^2 + 97469^2 .

It is an emirp because it is prime and its reverse (710110110131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131011011017 - 2⁸ = 131011010761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131011010986 and 131011011004.

It is not a weakly prime, because it can be changed into another prime (131011011517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505505508 + 65505505509.

It is an arithmetic number, because the mean of its divisors is an integer number (65505505509).

Almost surely, 2^131011011017 is an apocalyptic number.

It is an amenable number.

131011011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

131011011017 is an equidigital number, since it uses as much as digits as its factorization.

131011011017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 131011011017 its reverse (710110110131), we get a palindrome (841121121148).

The spelling of 131011011017 in words is "one hundred thirty-one billion, eleven million, eleven thousand, seventeen".