11331121216817 has 2 divisors, whose sum is σ = 11331121216818. Its totient is φ = 11331121216816.

The previous prime is 11331121216813. The next prime is 11331121216889. The reversal of 11331121216817 is 71861212113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6804371373361 + 4526749843456 = 2608519^2 + 2127616^2 .

It is an emirp because it is prime and its reverse (71861212113311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11331121216817 - 2² = 11331121216813 is a prime.

It is a super-2 number, since 2×11331121216817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11331121216813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665560608408 + 5665560608409.

It is an arithmetic number, because the mean of its divisors is an integer number (5665560608409).

Almost surely, 2^{11331121216817} is an apocalyptic number.

It is an amenable number.

11331121216817 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331121216817 is an equidigital number, since it uses as much as digits as its factorization.

11331121216817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 38.

The spelling of 11331121216817 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred sixteen thousand, eight hundred seventeen".