131311312309 has 2 divisors, whose sum is σ = 131311312310. Its totient is φ = 131311312308.

The previous prime is 131311312271. The next prime is 131311312453. The reversal of 131311312309 is 903213113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124823009809 + 6488302500 = 353303^2 + 80550^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311312309 - 2²¹ = 131309215157 is a prime.

It is a super-2 number, since 2×131311312309² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311312009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655656154 + 65655656155.

It is an arithmetic number, because the mean of its divisors is an integer number (65655656155).

Almost surely, 2^131311312309 is an apocalyptic number.

It is an amenable number.

131311312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311312309 is an equidigital number, since it uses as much as digits as its factorization.

131311312309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 131311312309 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred twelve thousand, three hundred nine".