211310012112013 has 2 divisors, whose sum is σ = 211310012112014. Its totient is φ = 211310012112012.

The previous prime is 211310012111983. The next prime is 211310012112029. The reversal of 211310012112013 is 310211210013112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198367703670249 + 12942308441764 = 14084307^2 + 3597542^2 .

It is a cyclic number.

It is not a de Polignac number, because 211310012112013 - 2⁴¹ = 209110988856461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211310012119013) 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, 105655006056006 + 105655006056007.

It is an arithmetic number, because the mean of its divisors is an integer number (105655006056007).

Almost surely, 2^{211310012112013} is an apocalyptic number.

It is an amenable number.

211310012112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211310012112013 is an equidigital number, since it uses as much as digits as its factorization.

211310012112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 211310012112013 its reverse (310211210013112), we get a palindrome (521521222125125).

The spelling of 211310012112013 in words is "two hundred eleven trillion, three hundred ten billion, twelve million, one hundred twelve thousand, thirteen".