11331131312257 has 2 divisors, whose sum is σ = 11331131312258. Its totient is φ = 11331131312256.

The previous prime is 11331131312227. The next prime is 11331131312273. The reversal of 11331131312257 is 75221313113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10264308809616 + 1066822502641 = 3203796^2 + 1032871^2 .

It is an emirp because it is prime and its reverse (75221313113311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11331131312257 - 2¹¹ = 11331131310209 is a prime.

It is a super-2 number, since 2×11331131312257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11331131312227) 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, 5665565656128 + 5665565656129.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565656129).

Almost surely, 2^{11331131312257} is an apocalyptic number.

It is an amenable number.

11331131312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131312257 is an equidigital number, since it uses as much as digits as its factorization.

11331131312257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 34.

Adding to 11331131312257 its reverse (75221313113311), we get a palindrome (86552444425568).

The spelling of 11331131312257 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, two hundred fifty-seven".