1121331122033 has 2 divisors, whose sum is σ = 1121331122034. Its totient is φ = 1121331122032.

The previous prime is 1121331122027. The next prime is 1121331122047. The reversal of 1121331122033 is 3302211331211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 590403214129 + 530927907904 = 768377^2 + 728648^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121331122033 - 2¹⁶ = 1121331056497 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121331122003) 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, 560665561016 + 560665561017.

It is an arithmetic number, because the mean of its divisors is an integer number (560665561017).

Almost surely, 2^{1121331122033} is an apocalyptic number.

It is an amenable number.

1121331122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121331122033 is an equidigital number, since it uses as much as digits as its factorization.

1121331122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1121331122033 its reverse (3302211331211), we get a palindrome (4423542453244).

The spelling of 1121331122033 in words is "one trillion, one hundred twenty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, thirty-three".