23133300329 has 2 divisors, whose sum is σ = 23133300330. Its totient is φ = 23133300328.

The previous prime is 23133300271. The next prime is 23133300343. The reversal of 23133300329 is 92300333132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23117682025 + 15618304 = 152045^2 + 3952^2 .

It is a cyclic number.

It is not a de Polignac number, because 23133300329 - 2²⁸ = 22864864873 is a prime.

It is a super-2 number, since 2×23133300329² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23133300389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11566650164 + 11566650165.

It is an arithmetic number, because the mean of its divisors is an integer number (11566650165).

Almost surely, 2^23133300329 is an apocalyptic number.

It is an amenable number.

23133300329 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133300329 is an equidigital number, since it uses as much as digits as its factorization.

23133300329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

The spelling of 23133300329 in words is "twenty-three billion, one hundred thirty-three million, three hundred thousand, three hundred twenty-nine".