23000133220321 has 2 divisors, whose sum is σ = 23000133220322. Its totient is φ = 23000133220320.

The previous prime is 23000133220319. The next prime is 23000133220423. The reversal of 23000133220321 is 12302233100032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22995861160000 + 4272060321 = 4795400^2 + 65361^2 .

It is a cyclic number.

It is not a de Polignac number, because 23000133220321 - 2¹ = 23000133220319 is a prime.

It is a super-2 number, since 2×23000133220321² (a number of 28 digits) contains 22 as substring.

Together with 23000133220319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 23000133220292 and 23000133220301.

It is not a weakly prime, because it can be changed into another prime (23000133220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11500066610160 + 11500066610161.

It is an arithmetic number, because the mean of its divisors is an integer number (11500066610161).

Almost surely, 2^{23000133220321} is an apocalyptic number.

It is an amenable number.

23000133220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

23000133220321 is an equidigital number, since it uses as much as digits as its factorization.

23000133220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23000133220321 its reverse (12302233100032), we get a palindrome (35302366320353).

The spelling of 23000133220321 in words is "twenty-three trillion, one hundred thirty-three million, two hundred twenty thousand, three hundred twenty-one".