100131313200211 has 2 divisors, whose sum is σ = 100131313200212. Its totient is φ = 100131313200210.

The previous prime is 100131313200209. The next prime is 100131313200227. The reversal of 100131313200211 is 112002313131001.

It is a weak prime.

It is an emirp because it is prime and its reverse (112002313131001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100131313200211 - 2¹ = 100131313200209 is a prime.

Together with 100131313200209, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100131313200011) 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, 50065656600105 + 50065656600106.

It is an arithmetic number, because the mean of its divisors is an integer number (50065656600106).

Almost surely, 2^{100131313200211} is an apocalyptic number.

100131313200211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131313200211 is an equidigital number, since it uses as much as digits as its factorization.

100131313200211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100131313200211 its reverse (112002313131001), we get a palindrome (212133626331212).

The spelling of 100131313200211 in words is "one hundred trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred thousand, two hundred eleven".