21110001213313 has 2 divisors, whose sum is σ = 21110001213314. Its totient is φ = 21110001213312.

The previous prime is 21110001213311. The next prime is 21110001213317. The reversal of 21110001213313 is 31331210001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18532232888464 + 2577768324849 = 4304908^2 + 1605543^2 .

It is a cyclic number.

It is not a de Polignac number, because 21110001213313 - 2¹ = 21110001213311 is a prime.

Together with 21110001213311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21110001213311) 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, 10555000606656 + 10555000606657.

It is an arithmetic number, because the mean of its divisors is an integer number (10555000606657).

Almost surely, 2^{21110001213313} is an apocalyptic number.

It is an amenable number.

21110001213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21110001213313 is an equidigital number, since it uses as much as digits as its factorization.

21110001213313 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 21110001213313 its reverse (31331210001112), we get a palindrome (52441211214425).

The spelling of 21110001213313 in words is "twenty-one trillion, one hundred ten billion, one million, two hundred thirteen thousand, three hundred thirteen".