22123122311333 has 2 divisors, whose sum is σ = 22123122311334. Its totient is φ = 22123122311332.

The previous prime is 22123122311321. The next prime is 22123122311351. The reversal of 22123122311333 is 33311322132122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11290453456129 + 10832668855204 = 3360127^2 + 3291302^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123122311333 - 2²⁸ = 22122853875877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22123122311296 and 22123122311305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22123122391333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061561155666 + 11061561155667.

It is an arithmetic number, because the mean of its divisors is an integer number (11061561155667).

Almost surely, 2^{22123122311333} is an apocalyptic number.

It is an amenable number.

22123122311333 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123122311333 is an equidigital number, since it uses as much as digits as its factorization.

22123122311333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 29.

Adding to 22123122311333 its reverse (33311322132122), we get a palindrome (55434444443455).

The spelling of 22123122311333 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twenty-two million, three hundred eleven thousand, three hundred thirty-three".