1117133864321 has 2 divisors, whose sum is σ = 1117133864322. Its totient is φ = 1117133864320.

The previous prime is 1117133864293. The next prime is 1117133864323. The reversal of 1117133864321 is 1234683317111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1091949761296 + 25184103025 = 1044964^2 + 158695^2 .

It is a cyclic number.

It is not a de Polignac number, because 1117133864321 - 2¹⁰ = 1117133863297 is a prime.

Together with 1117133864323, 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 (1117133864323) 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, 558566932160 + 558566932161.

It is an arithmetic number, because the mean of its divisors is an integer number (558566932161).

Almost surely, 2^{1117133864321} is an apocalyptic number.

It is an amenable number.

1117133864321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1117133864321 is an equidigital number, since it uses as much as digits as its factorization.

1117133864321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The spelling of 1117133864321 in words is "one trillion, one hundred seventeen billion, one hundred thirty-three million, eight hundred sixty-four thousand, three hundred twenty-one".