131312310257 has 2 divisors, whose sum is σ = 131312310258. Its totient is φ = 131312310256.

The previous prime is 131312310223. The next prime is 131312310281. The reversal of 131312310257 is 752013213131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121472463841 + 9839846416 = 348529^2 + 99196^2 .

It is a cyclic number.

It is not a de Polignac number, because 131312310257 - 2¹² = 131312306161 is a prime.

It is not a weakly prime, because it can be changed into another prime (131312310557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656155128 + 65656155129.

It is an arithmetic number, because the mean of its divisors is an integer number (65656155129).

Almost surely, 2^131312310257 is an apocalyptic number.

It is an amenable number.

131312310257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131312310257 is an equidigital number, since it uses as much as digits as its factorization.

131312310257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 131312310257 its reverse (752013213131), we get a palindrome (883325523388).

The spelling of 131312310257 in words is "one hundred thirty-one billion, three hundred twelve million, three hundred ten thousand, two hundred fifty-seven".