211001021011013 has 2 divisors, whose sum is σ = 211001021011014. Its totient is φ = 211001021011012.

The previous prime is 211001021010991. The next prime is 211001021011031. The reversal of 211001021011013 is 310110120100112.

Together with next prime (211001021011031) 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., 150547550327524 + 60453470683489 = 12269782^2 + 7775183^2 .

It is a cyclic number.

It is not a de Polignac number, because 211001021011013 - 2²⁰ = 211001019962437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211001021011513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500510505506 + 105500510505507.

It is an arithmetic number, because the mean of its divisors is an integer number (105500510505507).

Almost surely, 2^{211001021011013} is an apocalyptic number.

It is an amenable number.

211001021011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001021011013 is an equidigital number, since it uses as much as digits as its factorization.

211001021011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 211001021011013 its reverse (310110120100112), we get a palindrome (521111141111125).

The spelling of 211001021011013 in words is "two hundred eleven trillion, one billion, twenty-one million, eleven thousand, thirteen".