232221033331013 has 2 divisors, whose sum is σ = 232221033331014. Its totient is φ = 232221033331012.

The previous prime is 232221033330967. The next prime is 232221033331031. The reversal of 232221033331013 is 310133330122232.

Together with next prime (232221033331031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232202525905249 + 18507425764 = 15238193^2 + 136042^2 .

It is a cyclic number.

It is not a de Polignac number, because 232221033331013 - 2¹⁴ = 232221033314629 is a prime.

It is a super-3 number, since 3×232221033331013³ (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (232221033361013) 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, 116110516665506 + 116110516665507.

It is an arithmetic number, because the mean of its divisors is an integer number (116110516665507).

Almost surely, 2^{232221033331013} is an apocalyptic number.

It is an amenable number.

232221033331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

232221033331013 is an equidigital number, since it uses as much as digits as its factorization.

232221033331013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 232221033331013 its reverse (310133330122232), we get a palindrome (542354363453245).

The spelling of 232221033331013 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, thirty-three million, three hundred thirty-one thousand, thirteen".