331211011012313 has 2 divisors, whose sum is σ = 331211011012314. Its totient is φ = 331211011012312.

The previous prime is 331211011012267. The next prime is 331211011012331. The reversal of 331211011012313 is 313210110112133.

Together with next prime (331211011012331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287353928601289 + 43857082411024 = 16951517^2 + 6622468^2 .

It is a cyclic number.

It is not a de Polignac number, because 331211011012313 - 2¹⁰ = 331211011011289 is a prime.

It is not a weakly prime, because it can be changed into another prime (331211011012613) 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, 165605505506156 + 165605505506157.

It is an arithmetic number, because the mean of its divisors is an integer number (165605505506157).

Almost surely, 2^{331211011012313} is an apocalyptic number.

It is an amenable number.

331211011012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331211011012313 is an equidigital number, since it uses as much as digits as its factorization.

331211011012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 331211011012313 its reverse (313210110112133), we get a palindrome (644421121124446).

The spelling of 331211011012313 in words is "three hundred thirty-one trillion, two hundred eleven billion, eleven million, twelve thousand, three hundred thirteen".