331131010210313 has 2 divisors, whose sum is σ = 331131010210314. Its totient is φ = 331131010210312.

The previous prime is 331131010210309. The next prime is 331131010210373. The reversal of 331131010210313 is 313012010131133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177147927754249 + 153983082456064 = 13309693^2 + 12408992^2 .

It is a cyclic number.

It is not a de Polignac number, because 331131010210313 - 2² = 331131010210309 is a prime.

It is not a weakly prime, because it can be changed into another prime (331131010210373) 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, 165565505105156 + 165565505105157.

It is an arithmetic number, because the mean of its divisors is an integer number (165565505105157).

Almost surely, 2^{331131010210313} is an apocalyptic number.

It is an amenable number.

331131010210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131010210313 is an equidigital number, since it uses as much as digits as its factorization.

331131010210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 331131010210313 its reverse (313012010131133), we get a palindrome (644143020341446).

The spelling of 331131010210313 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, ten million, two hundred ten thousand, three hundred thirteen".