21331012322233 has 2 divisors, whose sum is σ = 21331012322234. Its totient is φ = 21331012322232.

The previous prime is 21331012322227. The next prime is 21331012322287. The reversal of 21331012322233 is 33222321013312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18235393765264 + 3095618556969 = 4270292^2 + 1759437^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331012322233 - 2³⁷ = 21193573368761 is a prime.

It is a super-2 number, since 2×21331012322233² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21331012322033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665506161116 + 10665506161117.

It is an arithmetic number, because the mean of its divisors is an integer number (10665506161117).

Almost surely, 2^{21331012322233} is an apocalyptic number.

It is an amenable number.

21331012322233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21331012322233 is an equidigital number, since it uses as much as digits as its factorization.

21331012322233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 21331012322233 its reverse (33222321013312), we get a palindrome (54553333335545).

The spelling of 21331012322233 in words is "twenty-one trillion, three hundred thirty-one billion, twelve million, three hundred twenty-two thousand, two hundred thirty-three".