23121322400133 has 20 divisors (see below), whose sum is σ = 35472752889420. Its totient is φ = 14997614527872.

The previous prime is 23121322400107. The next prime is 23121322400147. The reversal of 23121322400133 is 33100422312132.

23121322400133 is a `hidden beast` number, since 2 + 3 + 121 + 3 + 2 + 2 + 400 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19787568615684 + 3333753784449 = 4448322^2 + 1825857^2 .

It is not a de Polignac number, because 23121322400133 - 2¹⁶ = 23121322334597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23121322400097 and 23121322400106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121322800133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3857408148 + ... + 3857414141.

It is an arithmetic number, because the mean of its divisors is an integer number (1773637644471).

Almost surely, 2^{23121322400133} is an apocalyptic number.

It is an amenable number.

23121322400133 is a deficient number, since it is larger than the sum of its proper divisors (12351430489287).

23121322400133 is an equidigital number, since it uses as much as digits as its factorization.

23121322400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714822338 (or 7714822329 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23121322400133 its reverse (33100422312132), we get a palindrome (56221744712265).

The spelling of 23121322400133 in words is "twenty-three trillion, one hundred twenty-one billion, three hundred twenty-two million, four hundred thousand, one hundred thirty-three".