33121304121133 has 2 divisors, whose sum is σ = 33121304121134. Its totient is φ = 33121304121132.

The previous prime is 33121304121001. The next prime is 33121304121179. The reversal of 33121304121133 is 33112140312133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30031309686889 + 3089994434244 = 5480083^2 + 1757838^2 .

It is a cyclic number.

It is not a de Polignac number, because 33121304121133 - 2³⁷ = 32983865167661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33121304121233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560652060566 + 16560652060567.

It is an arithmetic number, because the mean of its divisors is an integer number (16560652060567).

Almost surely, 2^{33121304121133} is an apocalyptic number.

It is an amenable number.

33121304121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33121304121133 is an equidigital number, since it uses as much as digits as its factorization.

33121304121133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 33121304121133 its reverse (33112140312133), we get a palindrome (66233444433266).

The spelling of 33121304121133 in words is "thirty-three trillion, one hundred twenty-one billion, three hundred four million, one hundred twenty-one thousand, one hundred thirty-three".