34133034033 has 24 divisors (see below), whose sum is σ = 56719767936. Its totient is φ = 19375416000.

The previous prime is 34133034007. The next prime is 34133034037. The reversal of 34133034033 is 33043033143.

It is not a de Polignac number, because 34133034033 - 2¹⁴ = 34133017649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34133033988 and 34133034006.

It is not an unprimeable number, because it can be changed into a prime (34133034037) 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 in 23 ways as a sum of consecutive naturals, for example, 1784508 + ... + 1803533.

It is an arithmetic number, because the mean of its divisors is an integer number (2363323664).

Almost surely, 2^34133034033 is an apocalyptic number.

It is an amenable number.

34133034033 is a deficient number, since it is larger than the sum of its proper divisors (22586733903).

34133034033 is a wasteful number, since it uses less digits than its factorization.

34133034033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588205 (or 3588202 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 34133034033 its reverse (33043033143), we get a palindrome (67176067176).

The spelling of 34133034033 in words is "thirty-four billion, one hundred thirty-three million, thirty-four thousand, thirty-three".