131031101309 has 2 divisors, whose sum is σ = 131031101310. Its totient is φ = 131031101308.

The previous prime is 131031101303. The next prime is 131031101317. The reversal of 131031101309 is 903101130131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119111265625 + 11919835684 = 345125^2 + 109178^2 .

It is a cyclic number.

It is not a de Polignac number, because 131031101309 - 2⁸ = 131031101053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131031101303) 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, 65515550654 + 65515550655.

It is an arithmetic number, because the mean of its divisors is an integer number (65515550655).

Almost surely, 2^131031101309 is an apocalyptic number.

It is an amenable number.

131031101309 is a deficient number, since it is larger than the sum of its proper divisors (1).

131031101309 is an equidigital number, since it uses as much as digits as its factorization.

131031101309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 23.

The spelling of 131031101309 in words is "one hundred thirty-one billion, thirty-one million, one hundred one thousand, three hundred nine".