311013123313 has 2 divisors, whose sum is σ = 311013123314. Its totient is φ = 311013123312.

The previous prime is 311013123301. The next prime is 311013123331. The reversal of 311013123313 is 313321310113.

Together with next prime (311013123331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301470177969 + 9542945344 = 549063^2 + 97688^2 .

It is a cyclic number.

It is not a de Polignac number, because 311013123313 - 2³⁷ = 173574169841 is a prime.

It is not a weakly prime, because it can be changed into another prime (311013123613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155506561656 + 155506561657.

It is an arithmetic number, because the mean of its divisors is an integer number (155506561657).

Almost surely, 2^311013123313 is an apocalyptic number.

It is an amenable number.

311013123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311013123313 is an equidigital number, since it uses as much as digits as its factorization.

311013123313 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 22.

Adding to 311013123313 its reverse (313321310113), we get a palindrome (624334433426).

The spelling of 311013123313 in words is "three hundred eleven billion, thirteen million, one hundred twenty-three thousand, three hundred thirteen".