331220212120013 has 2 divisors, whose sum is σ = 331220212120014. Its totient is φ = 331220212120012.

The previous prime is 331220212120009. The next prime is 331220212120051. The reversal of 331220212120013 is 310021212022133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310472751936169 + 20747460183844 = 17620237^2 + 4554938^2 .

It is a cyclic number.

It is not a de Polignac number, because 331220212120013 - 2² = 331220212120009 is a prime.

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 (331220212170013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610106060006 + 165610106060007.

It is an arithmetic number, because the mean of its divisors is an integer number (165610106060007).

Almost surely, 2^{331220212120013} is an apocalyptic number.

It is an amenable number.

331220212120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331220212120013 is an equidigital number, since it uses as much as digits as its factorization.

331220212120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 331220212120013 its reverse (310021212022133), we get a palindrome (641241424142146).

The spelling of 331220212120013 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, thirteen".