33133312011077 has 2 divisors, whose sum is σ = 33133312011078. Its totient is φ = 33133312011076.

The previous prime is 33133312011053. The next prime is 33133312011167. The reversal of 33133312011077 is 77011021333133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32974227497761 + 159084513316 = 5742319^2 + 398854^2 .

It is a cyclic number.

It is not a de Polignac number, because 33133312011077 - 2⁴⁰ = 32033800383301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33133312011377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16566656005538 + 16566656005539.

It is an arithmetic number, because the mean of its divisors is an integer number (16566656005539).

Almost surely, 2^{33133312011077} is an apocalyptic number.

It is an amenable number.

33133312011077 is a deficient number, since it is larger than the sum of its proper divisors (1).

33133312011077 is an equidigital number, since it uses as much as digits as its factorization.

33133312011077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 35.

The spelling of 33133312011077 in words is "thirty-three trillion, one hundred thirty-three billion, three hundred twelve million, eleven thousand, seventy-seven".