331131120021313 has 2 divisors, whose sum is σ = 331131120021314. Its totient is φ = 331131120021312.

The previous prime is 331131120021293. The next prime is 331131120021343. The reversal of 331131120021313 is 313120021131133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 325408154699329 + 5722965321984 = 18039073^2 + 2392272^2 .

It is a cyclic number.

It is not a de Polignac number, because 331131120021313 - 2¹³ = 331131120013121 is a prime.

It is not a weakly prime, because it can be changed into another prime (331131120021343) 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, 165565560010656 + 165565560010657.

It is an arithmetic number, because the mean of its divisors is an integer number (165565560010657).

Almost surely, 2^{331131120021313} is an apocalyptic number.

It is an amenable number.

331131120021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131120021313 is an equidigital number, since it uses as much as digits as its factorization.

331131120021313 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 331131120021313 its reverse (313120021131133), we get a palindrome (644251141152446).

The spelling of 331131120021313 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty million, twenty-one thousand, three hundred thirteen".