1301311311257 has 2 divisors, whose sum is σ = 1301311311258. Its totient is φ = 1301311311256.

The previous prime is 1301311311197. The next prime is 1301311311259. The reversal of 1301311311257 is 7521131131031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1114061251081 + 187250060176 = 1055491^2 + 432724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301311311257 - 2¹² = 1301311307161 is a prime.

It is a super-2 number, since 2×1301311311257² (a number of 25 digits) contains 22 as substring.

Together with 1301311311259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1301311311259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650655655628 + 650655655629.

It is an arithmetic number, because the mean of its divisors is an integer number (650655655629).

Almost surely, 2^{1301311311257} is an apocalyptic number.

It is an amenable number.

1301311311257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301311311257 is an equidigital number, since it uses as much as digits as its factorization.

1301311311257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 29.

Adding to 1301311311257 its reverse (7521131131031), we get a palindrome (8822442442288).

The spelling of 1301311311257 in words is "one trillion, three hundred one billion, three hundred eleven million, three hundred eleven thousand, two hundred fifty-seven".