34361066133 has 10 divisors (see below), whose sum is σ = 51329493974. Its totient is φ = 22907377368.

The previous prime is 34361066119. The next prime is 34361066137. The reversal of 34361066133 is 33166016343.

34361066133 is a `hidden beast` number, since 3 + 4 + 3 + 610 + 6 + 6 + 1 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28622549124 + 5738517009 = 169182^2 + 75753^2 .

It is not a de Polignac number, because 34361066133 - 2⁵ = 34361066101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34361066137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 212105266 + ... + 212105427.

Almost surely, 2^34361066133 is an apocalyptic number.

It is an amenable number.

34361066133 is a deficient number, since it is larger than the sum of its proper divisors (16968427841).

34361066133 is an equidigital number, since it uses as much as digits as its factorization.

34361066133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424210705 (or 424210696 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 34361066133 in words is "thirty-four billion, three hundred sixty-one million, sixty-six thousand, one hundred thirty-three".