233022013329 has 32 divisors (see below), whose sum is σ = 373813120000. Its totient is φ = 126132583104.

The previous prime is 233022013307. The next prime is 233022013339. The reversal of 233022013329 is 923310220332.

233022013329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233022013329 - 2⁵ = 233022013297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233022013296 and 233022013305.

It is not an unprimeable number, because it can be changed into a prime (233022013339) 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, 4000587 + ... + 4058415.

It is an arithmetic number, because the mean of its divisors is an integer number (11681660000).

Almost surely, 2^233022013329 is an apocalyptic number.

It is an amenable number.

233022013329 is a deficient number, since it is larger than the sum of its proper divisors (140791106671).

233022013329 is a wasteful number, since it uses less digits than its factorization.

233022013329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67957.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 233022013329 in words is "two hundred thirty-three billion, twenty-two million, thirteen thousand, three hundred twenty-nine".