201013131311017 has 2 divisors, whose sum is σ = 201013131311018. Its totient is φ = 201013131311016.

The previous prime is 201013131310933. The next prime is 201013131311033. The reversal of 201013131311017 is 710113131310102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154457769034816 + 46555362276201 = 12428104^2 + 6823149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201013131311017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201013131310982 and 201013131311000.

It is not a weakly prime, because it can be changed into another prime (201013131312017) 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, 100506565655508 + 100506565655509.

It is an arithmetic number, because the mean of its divisors is an integer number (100506565655509).

Almost surely, 2^{201013131311017} is an apocalyptic number.

It is an amenable number.

201013131311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

201013131311017 is an equidigital number, since it uses as much as digits as its factorization.

201013131311017 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 25.

Adding to 201013131311017 its reverse (710113131310102), we get a palindrome (911126262621119).

The spelling of 201013131311017 in words is "two hundred one trillion, thirteen billion, one hundred thirty-one million, three hundred eleven thousand, seventeen".