33122013313133 has 2 divisors, whose sum is σ = 33122013313134. Its totient is φ = 33122013313132.

The previous prime is 33122013313099. The next prime is 33122013313139. The reversal of 33122013313133 is 33131331022133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32120816955529 + 1001196357604 = 5667523^2 + 1000598^2 .

It is an emirp because it is prime and its reverse (33131331022133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33122013313133 - 2¹⁰ = 33122013312109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33122013313096 and 33122013313105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33122013313139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16561006656566 + 16561006656567.

It is an arithmetic number, because the mean of its divisors is an integer number (16561006656567).

Almost surely, 2^{33122013313133} is an apocalyptic number.

It is an amenable number.

33122013313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122013313133 is an equidigital number, since it uses as much as digits as its factorization.

33122013313133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 33122013313133 its reverse (33131331022133), we get a palindrome (66253344335266).

The spelling of 33122013313133 in words is "thirty-three trillion, one hundred twenty-two billion, thirteen million, three hundred thirteen thousand, one hundred thirty-three".