33073319106133 has 2 divisors, whose sum is σ = 33073319106134. Its totient is φ = 33073319106132.

The previous prime is 33073319106103. The next prime is 33073319106197. The reversal of 33073319106133 is 33160191337033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31545667601809 + 1527651504324 = 5616553^2 + 1235982^2 .

It is a cyclic number.

It is not a de Polignac number, because 33073319106133 - 2¹³ = 33073319097941 is a prime.

It is a super-2 number, since 2×33073319106133² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33073319106133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33073319106103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16536659553066 + 16536659553067.

It is an arithmetic number, because the mean of its divisors is an integer number (16536659553067).

Almost surely, 2^{33073319106133} is an apocalyptic number.

It is an amenable number.

33073319106133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33073319106133 is an equidigital number, since it uses as much as digits as its factorization.

33073319106133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 275562, while the sum is 43.

The spelling of 33073319106133 in words is "thirty-three trillion, seventy-three billion, three hundred nineteen million, one hundred six thousand, one hundred thirty-three".