131321312257 has 2 divisors, whose sum is σ = 131321312258. Its totient is φ = 131321312256.

The previous prime is 131321312201. The next prime is 131321312263. The reversal of 131321312257 is 752213123131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130526128656 + 795183601 = 361284^2 + 28199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131321312257 is a prime.

It is not a weakly prime, because it can be changed into another prime (131321312557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660656128 + 65660656129.

It is an arithmetic number, because the mean of its divisors is an integer number (65660656129).

Almost surely, 2^131321312257 is an apocalyptic number.

It is an amenable number.

131321312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131321312257 is an equidigital number, since it uses as much as digits as its factorization.

131321312257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 31.

Adding to 131321312257 its reverse (752213123131), we get a palindrome (883534435388).

The spelling of 131321312257 in words is "one hundred thirty-one billion, three hundred twenty-one million, three hundred twelve thousand, two hundred fifty-seven".