1133133122321 has 2 divisors, whose sum is σ = 1133133122322. Its totient is φ = 1133133122320.

The previous prime is 1133133122273. The next prime is 1133133122323. The reversal of 1133133122321 is 1232213313311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 690693966400 + 442439155921 = 831080^2 + 665161^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133133122321 - 2⁶ = 1133133122257 is a prime.

Together with 1133133122323, 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 (1133133122323) 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, 566566561160 + 566566561161.

It is an arithmetic number, because the mean of its divisors is an integer number (566566561161).

Almost surely, 2^{1133133122321} is an apocalyptic number.

It is an amenable number.

1133133122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133133122321 is an equidigital number, since it uses as much as digits as its factorization.

1133133122321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

Adding to 1133133122321 its reverse (1232213313311), we get a palindrome (2365346435632).

The spelling of 1133133122321 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty-one".