131020231032113 has 2 divisors, whose sum is σ = 131020231032114. Its totient is φ = 131020231032112.

The previous prime is 131020231032059. The next prime is 131020231032139. The reversal of 131020231032113 is 311230132020131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130701781870144 + 318449161969 = 11432488^2 + 564313^2 .

It is a cyclic number.

It is not a de Polignac number, because 131020231032113 - 2¹² = 131020231028017 is a prime.

It is not a weakly prime, because it can be changed into another prime (131020231022113) 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, 65510115516056 + 65510115516057.

It is an arithmetic number, because the mean of its divisors is an integer number (65510115516057).

Almost surely, 2^{131020231032113} is an apocalyptic number.

It is an amenable number.

131020231032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131020231032113 is an equidigital number, since it uses as much as digits as its factorization.

131020231032113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131020231032113 its reverse (311230132020131), we get a palindrome (442250363052244).

The spelling of 131020231032113 in words is "one hundred thirty-one trillion, twenty billion, two hundred thirty-one million, thirty-two thousand, one hundred thirteen".