131011312193 has 2 divisors, whose sum is σ = 131011312194. Its totient is φ = 131011312192.

The previous prime is 131011312181. The next prime is 131011312213. The reversal of 131011312193 is 391213110131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96269334529 + 34741977664 = 310273^2 + 186392^2 .

It is a cyclic number.

It is not a de Polignac number, because 131011312193 - 2²⁰ = 131010263617 is a prime.

It is not a weakly prime, because it can be changed into another prime (131011312093) 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, 65505656096 + 65505656097.

It is an arithmetic number, because the mean of its divisors is an integer number (65505656097).

Almost surely, 2^131011312193 is an apocalyptic number.

It is an amenable number.

131011312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

131011312193 is an equidigital number, since it uses as much as digits as its factorization.

131011312193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 131011312193 in words is "one hundred thirty-one billion, eleven million, three hundred twelve thousand, one hundred ninety-three".