211001112111313 has 2 divisors, whose sum is σ = 211001112111314. Its totient is φ = 211001112111312.

The previous prime is 211001112111301. The next prime is 211001112111331. The reversal of 211001112111313 is 313111211100112.

Together with next prime (211001112111331) 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., 203586753434689 + 7414358676624 = 14268383^2 + 2722932^2 .

It is a cyclic number.

It is not a de Polignac number, because 211001112111313 - 2²⁵ = 211001078556881 is a prime.

It is not a weakly prime, because it can be changed into another prime (211001112111113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500556055656 + 105500556055657.

It is an arithmetic number, because the mean of its divisors is an integer number (105500556055657).

Almost surely, 2^{211001112111313} is an apocalyptic number.

It is an amenable number.

211001112111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001112111313 is an equidigital number, since it uses as much as digits as its factorization.

211001112111313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 211001112111313 its reverse (313111211100112), we get a palindrome (524112323211425).

The spelling of 211001112111313 in words is "two hundred eleven trillion, one billion, one hundred twelve million, one hundred eleven thousand, three hundred thirteen".