211105133120009 has 2 divisors, whose sum is σ = 211105133120010. Its totient is φ = 211105133120008.

The previous prime is 211105133119963. The next prime is 211105133120027. The reversal of 211105133120009 is 900021331501112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211088499343225 + 16633776784 = 14528885^2 + 128972^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211105133120009 is a prime.

It is not a weakly prime, because it can be changed into another prime (211105133120069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105552566560004 + 105552566560005.

It is an arithmetic number, because the mean of its divisors is an integer number (105552566560005).

Almost surely, 2^{211105133120009} is an apocalyptic number.

It is an amenable number.

211105133120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

211105133120009 is an equidigital number, since it uses as much as digits as its factorization.

211105133120009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 29.

The spelling of 211105133120009 in words is "two hundred eleven trillion, one hundred five billion, one hundred thirty-three million, one hundred twenty thousand, nine".