11331131311217 has 2 divisors, whose sum is σ = 11331131311218. Its totient is φ = 11331131311216.

The previous prime is 11331131311207. The next prime is 11331131311229. The reversal of 11331131311217 is 71211313113311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7129455370816 + 4201675940401 = 2670104^2 + 2049799^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131311217 - 2³⁴ = 11313951442033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131311217.

It is not a weakly prime, because it can be changed into another prime (11331131311207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665565655608 + 5665565655609.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565655609).

Almost surely, 2^{11331131311217} is an apocalyptic number.

It is an amenable number.

11331131311217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131311217 is an equidigital number, since it uses as much as digits as its factorization.

11331131311217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 29.

Adding to 11331131311217 its reverse (71211313113311), we get a palindrome (82542444424528).

The spelling of 11331131311217 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred eleven thousand, two hundred seventeen".