113120313131017 has 2 divisors, whose sum is σ = 113120313131018. Its totient is φ = 113120313131016.

The previous prime is 113120313130963. The next prime is 113120313131053. The reversal of 113120313131017 is 710131313021311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99262644268096 + 13857668862921 = 9963064^2 + 3722589^2 .

It is a cyclic number.

It is not a de Polignac number, because 113120313131017 - 2⁷ = 113120313130889 is a prime.

It is a super-2 number, since 2×113120313131017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113120313131117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56560156565508 + 56560156565509.

It is an arithmetic number, because the mean of its divisors is an integer number (56560156565509).

Almost surely, 2^{113120313131017} is an apocalyptic number.

It is an amenable number.

113120313131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

113120313131017 is an equidigital number, since it uses as much as digits as its factorization.

113120313131017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 28.

Adding to 113120313131017 its reverse (710131313021311), we get a palindrome (823251626152328).

The spelling of 113120313131017 in words is "one hundred thirteen trillion, one hundred twenty billion, three hundred thirteen million, one hundred thirty-one thousand, seventeen".