21331312323133 has 2 divisors, whose sum is σ = 21331312323134. Its totient is φ = 21331312323132.

The previous prime is 21331312323091. The next prime is 21331312323157. The reversal of 21331312323133 is 33132321313312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15011734752004 + 6319577571129 = 3874498^2 + 2513877^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331312323133 - 2¹⁷ = 21331312192061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21331312323095 and 21331312323104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21331312323733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665656161566 + 10665656161567.

It is an arithmetic number, because the mean of its divisors is an integer number (10665656161567).

Almost surely, 2^{21331312323133} is an apocalyptic number.

It is an amenable number.

21331312323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21331312323133 is an equidigital number, since it uses as much as digits as its factorization.

21331312323133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 31.

Adding to 21331312323133 its reverse (33132321313312), we get a palindrome (54463633636445).

The spelling of 21331312323133 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred twelve million, three hundred twenty-three thousand, one hundred thirty-three".