10331213329 has 2 divisors, whose sum is σ = 10331213330. Its totient is φ = 10331213328.

The previous prime is 10331213287. The next prime is 10331213363. The reversal of 10331213329 is 92331213301.

10331213329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9917172225 + 414041104 = 99585^2 + 20348^2 .

It is an emirp because it is prime and its reverse (92331213301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10331213329 - 2¹⁹ = 10330689041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10331213297 and 10331213306.

It is not a weakly prime, because it can be changed into another prime (10331213369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165606664 + 5165606665.

It is an arithmetic number, because the mean of its divisors is an integer number (5165606665).

Almost surely, 2^10331213329 is an apocalyptic number.

It is an amenable number.

10331213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331213329 is an equidigital number, since it uses as much as digits as its factorization.

10331213329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Subtracting from 10331213329 its sum of digits (28), we obtain a palindrome (10331213301).

The spelling of 10331213329 in words is "ten billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-nine".