33042134304001 has 32 divisors (see below), whose sum is σ = 33715650428928. Its totient is φ = 32377495019520.

The previous prime is 33042134303989. The next prime is 33042134304097. The reversal of 33042134304001 is 10040343124033.

It is a cyclic number.

It is not a de Polignac number, because 33042134304001 - 2¹⁵ = 33042134271233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33042134344001) 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 31 ways as a sum of consecutive naturals, for example, 5378823936 + ... + 5378830078.

It is an arithmetic number, because the mean of its divisors is an integer number (1053614075904).

Almost surely, 2^{33042134304001} is an apocalyptic number.

It is an amenable number.

33042134304001 is a deficient number, since it is larger than the sum of its proper divisors (673516124927).

33042134304001 is a wasteful number, since it uses less digits than its factorization.

33042134304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33042134304001 its reverse (10040343124033), we get a palindrome (43082477428034).

The spelling of 33042134304001 in words is "thirty-three trillion, forty-two billion, one hundred thirty-four million, three hundred four thousand, one".