13122231122333 has 2 divisors, whose sum is σ = 13122231122334. Its totient is φ = 13122231122332.

The previous prime is 13122231122311. The next prime is 13122231122369. The reversal of 13122231122333 is 33322113222131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10388489641924 + 2733741480409 = 3223118^2 + 1653403^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122231122333 - 2²⁴ = 13122214345117 is a prime.

It is a super-2 number, since 2×13122231122333² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122231122296 and 13122231122305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122231124333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561115561166 + 6561115561167.

It is an arithmetic number, because the mean of its divisors is an integer number (6561115561167).

Almost surely, 2^{13122231122333} is an apocalyptic number.

It is an amenable number.

13122231122333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122231122333 is an equidigital number, since it uses as much as digits as its factorization.

13122231122333 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13122231122333 its reverse (33322113222131), we get a palindrome (46444344344464).

The spelling of 13122231122333 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred twenty-two thousand, three hundred thirty-three".