331301121103213 has 2 divisors, whose sum is σ = 331301121103214. Its totient is φ = 331301121103212.

The previous prime is 331301121103109. The next prime is 331301121103259. The reversal of 331301121103213 is 312301121103133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307966067277444 + 23335053825769 = 17548962^2 + 4830637^2 .

It is a cyclic number.

It is not a de Polignac number, because 331301121103213 - 2⁴¹ = 329102097847661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331301121103283) 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, 165650560551606 + 165650560551607.

It is an arithmetic number, because the mean of its divisors is an integer number (165650560551607).

Almost surely, 2^{331301121103213} is an apocalyptic number.

It is an amenable number.

331301121103213 is a deficient number, since it is larger than the sum of its proper divisors (1).

331301121103213 is an equidigital number, since it uses as much as digits as its factorization.

331301121103213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 331301121103213 its reverse (312301121103133), we get a palindrome (643602242206346).

The spelling of 331301121103213 in words is "three hundred thirty-one trillion, three hundred one billion, one hundred twenty-one million, one hundred three thousand, two hundred thirteen".