131031331101313 has 2 divisors, whose sum is σ = 131031331101314. Its totient is φ = 131031331101312.

The previous prime is 131031331101247. The next prime is 131031331101397. The reversal of 131031331101313 is 313101133130131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104782390450929 + 26248940650384 = 10236327^2 + 5123372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131031331101313 is a prime.

It is not a weakly prime, because it can be changed into another prime (131031331101413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65515665550656 + 65515665550657.

It is an arithmetic number, because the mean of its divisors is an integer number (65515665550657).

Almost surely, 2^{131031331101313} is an apocalyptic number.

It is an amenable number.

131031331101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131031331101313 is an equidigital number, since it uses as much as digits as its factorization.

131031331101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 131031331101313 its reverse (313101133130131), we get a palindrome (444132464231444).

The spelling of 131031331101313 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred thirty-one million, one hundred one thousand, three hundred thirteen".