131010013061 has 2 divisors, whose sum is σ = 131010013062. Its totient is φ = 131010013060.

The previous prime is 131010013039. The next prime is 131010013063. The reversal of 131010013061 is 160310010131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102922264225 + 28087748836 = 320815^2 + 167594^2 .

It is a cyclic number.

It is not a de Polignac number, because 131010013061 - 2³⁰ = 129936271237 is a prime.

Together with 131010013063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131010013063) 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, 65505006530 + 65505006531.

It is an arithmetic number, because the mean of its divisors is an integer number (65505006531).

Almost surely, 2^131010013061 is an apocalyptic number.

It is an amenable number.

131010013061 is a deficient number, since it is larger than the sum of its proper divisors (1).

131010013061 is an equidigital number, since it uses as much as digits as its factorization.

131010013061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131010013061 its reverse (160310010131), we get a palindrome (291320023192).

The spelling of 131010013061 in words is "one hundred thirty-one billion, ten million, thirteen thousand, sixty-one".