34024642133 has 2 divisors, whose sum is σ = 34024642134. Its totient is φ = 34024642132.

The previous prime is 34024642031. The next prime is 34024642139. The reversal of 34024642133 is 33124642043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33418399249 + 606242884 = 182807^2 + 24622^2 .

It is an emirp because it is prime and its reverse (33124642043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34024642133 is a prime.

It is a super-3 number, since 3×34024642133³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34024642133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34024642139) 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, 17012321066 + 17012321067.

It is an arithmetic number, because the mean of its divisors is an integer number (17012321067).

Almost surely, 2^34024642133 is an apocalyptic number.

It is an amenable number.

34024642133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024642133 is an equidigital number, since it uses as much as digits as its factorization.

34024642133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 34024642133 in words is "thirty-four billion, twenty-four million, six hundred forty-two thousand, one hundred thirty-three".