33132946013 has 2 divisors, whose sum is σ = 33132946014. Its totient is φ = 33132946012.

The previous prime is 33132945983. The next prime is 33132946031. The reversal of 33132946013 is 31064923133.

Together with next prime (33132946031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22023153604 + 11109792409 = 148402^2 + 105403^2 .

It is a cyclic number.

It is not a de Polignac number, because 33132946013 - 2²⁴ = 33116168797 is a prime.

It is a super-2 number, since 2×33132946013² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33132940013) 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, 16566473006 + 16566473007.

It is an arithmetic number, because the mean of its divisors is an integer number (16566473007).

Almost surely, 2^33132946013 is an apocalyptic number.

It is an amenable number.

33132946013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33132946013 is an equidigital number, since it uses as much as digits as its factorization.

33132946013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 33132946013 in words is "thirty-three billion, one hundred thirty-two million, nine hundred forty-six thousand, thirteen".