111332221002133 has 2 divisors, whose sum is σ = 111332221002134. Its totient is φ = 111332221002132.

The previous prime is 111332221002103. The next prime is 111332221002157. The reversal of 111332221002133 is 331200122233111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111331050130609 + 1170871524 = 10551353^2 + 34218^2 .

It is a cyclic number.

It is not a de Polignac number, because 111332221002133 - 2⁹ = 111332221001621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111332221002098 and 111332221002107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111332221002103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55666110501066 + 55666110501067.

It is an arithmetic number, because the mean of its divisors is an integer number (55666110501067).

Almost surely, 2^{111332221002133} is an apocalyptic number.

It is an amenable number.

111332221002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111332221002133 is an equidigital number, since it uses as much as digits as its factorization.

111332221002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 111332221002133 its reverse (331200122233111), we get a palindrome (442532343235244).

The spelling of 111332221002133 in words is "one hundred eleven trillion, three hundred thirty-two billion, two hundred twenty-one million, two thousand, one hundred thirty-three".