21331311311333 has 2 divisors, whose sum is σ = 21331311311334. Its totient is φ = 21331311311332.

The previous prime is 21331311311311. The next prime is 21331311311339. The reversal of 21331311311333 is 33311311313312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11071737166084 + 10259574145249 = 3327422^2 + 3203057^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331311311333 - 2²⁴ = 21331294534117 is a prime.

It is a super-2 number, since 2×21331311311333² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21331311311296 and 21331311311305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21331311311339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665655655666 + 10665655655667.

It is an arithmetic number, because the mean of its divisors is an integer number (10665655655667).

Almost surely, 2^{21331311311333} is an apocalyptic number.

It is an amenable number.

21331311311333 is a deficient number, since it is larger than the sum of its proper divisors (1).

21331311311333 is an equidigital number, since it uses as much as digits as its factorization.

21331311311333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 29.

Adding to 21331311311333 its reverse (33311311313312), we get a palindrome (54642622624645).

The spelling of 21331311311333 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred eleven million, three hundred eleven thousand, three hundred thirty-three".