113131012330081 has 2 divisors, whose sum is σ = 113131012330082. Its totient is φ = 113131012330080.

The previous prime is 113131012330079. The next prime is 113131012330123. The reversal of 113131012330081 is 180033210131311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66692457237025 + 46438555093056 = 8166545^2 + 6814584^2 .

It is a cyclic number.

It is not a de Polignac number, because 113131012330081 - 2¹ = 113131012330079 is a prime.

It is a super-2 number, since 2×113131012330081² (a number of 29 digits) contains 22 as substring.

Together with 113131012330079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (113131012330181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565506165040 + 56565506165041.

It is an arithmetic number, because the mean of its divisors is an integer number (56565506165041).

Almost surely, 2^{113131012330081} is an apocalyptic number.

It is an amenable number.

113131012330081 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131012330081 is an equidigital number, since it uses as much as digits as its factorization.

113131012330081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 113131012330081 its reverse (180033210131311), we get a palindrome (293164222461392).

The spelling of 113131012330081 in words is "one hundred thirteen trillion, one hundred thirty-one billion, twelve million, three hundred thirty thousand, eighty-one".