11033101033133 has 2 divisors, whose sum is σ = 11033101033134. Its totient is φ = 11033101033132.

The previous prime is 11033101033099. The next prime is 11033101033189. The reversal of 11033101033133 is 33133010133011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11010630423529 + 22470609604 = 3318227^2 + 149902^2 .

It is a cyclic number.

It is not a de Polignac number, because 11033101033133 - 2²⁴ = 11033084255917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11033101033099 and 11033101033108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11033101035133) 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, 5516550516566 + 5516550516567.

It is an arithmetic number, because the mean of its divisors is an integer number (5516550516567).

Almost surely, 2^{11033101033133} is an apocalyptic number.

It is an amenable number.

11033101033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11033101033133 is an equidigital number, since it uses as much as digits as its factorization.

11033101033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 11033101033133 its reverse (33133010133011), we get a palindrome (44166111166144).

The spelling of 11033101033133 in words is "eleven trillion, thirty-three billion, one hundred one million, thirty-three thousand, one hundred thirty-three".