22320133312721 has 2 divisors, whose sum is σ = 22320133312722. Its totient is φ = 22320133312720.

The previous prime is 22320133312709. The next prime is 22320133312723. The reversal of 22320133312721 is 12721333102322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20565862201600 + 1754271111121 = 4534960^2 + 1324489^2 .

It is a cyclic number.

It is not a de Polignac number, because 22320133312721 - 2¹⁸ = 22320133050577 is a prime.

It is a super-3 number, since 3×22320133312721³ (a number of 41 digits) contains 333 as substring.

Together with 22320133312723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22320133312723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160066656360 + 11160066656361.

It is an arithmetic number, because the mean of its divisors is an integer number (11160066656361).

Almost surely, 2^{22320133312721} is an apocalyptic number.

It is an amenable number.

22320133312721 is a deficient number, since it is larger than the sum of its proper divisors (1).

22320133312721 is an equidigital number, since it uses as much as digits as its factorization.

22320133312721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 22320133312721 in words is "twenty-two trillion, three hundred twenty billion, one hundred thirty-three million, three hundred twelve thousand, seven hundred twenty-one".