100011011111213 has 2 divisors, whose sum is σ = 100011011111214. Its totient is φ = 100011011111212.

The previous prime is 100011011111059. The next prime is 100011011111227. The reversal of 100011011111213 is 312111110110001.

It is an a-pointer prime, because the next prime (100011011111227) can be obtained adding 100011011111213 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69170459666884 + 30840551444329 = 8316878^2 + 5553427^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011011111213 - 2¹⁸ = 100011010849069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011011111243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505555606 + 50005505555607.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505555607).

Almost surely, 2^{100011011111213} is an apocalyptic number.

It is an amenable number.

100011011111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011011111213 is an equidigital number, since it uses as much as digits as its factorization.

100011011111213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100011011111213 its reverse (312111110110001), we get a palindrome (412122121221214).

The spelling of 100011011111213 in words is "one hundred trillion, eleven billion, eleven million, one hundred eleven thousand, two hundred thirteen".