22321013312333 has 2 divisors, whose sum is σ = 22321013312334. Its totient is φ = 22321013312332.

The previous prime is 22321013312321. The next prime is 22321013312357. The reversal of 22321013312333 is 33321331012322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21049716472009 + 1271296840324 = 4587997^2 + 1127518^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321013312333 - 2²⁰ = 22321012263757 is a prime.

It is a super-3 number, since 3×22321013312333³ (a number of 41 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22321013312296 and 22321013312305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22321013312363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160506656166 + 11160506656167.

It is an arithmetic number, because the mean of its divisors is an integer number (11160506656167).

Almost surely, 2^{22321013312333} is an apocalyptic number.

It is an amenable number.

22321013312333 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321013312333 is an equidigital number, since it uses as much as digits as its factorization.

22321013312333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 22321013312333 its reverse (33321331012322), we get a palindrome (55642344324655).

The spelling of 22321013312333 in words is "twenty-two trillion, three hundred twenty-one billion, thirteen million, three hundred twelve thousand, three hundred thirty-three".