10211000111113 has 2 divisors, whose sum is σ = 10211000111114. Its totient is φ = 10211000111112.

The previous prime is 10211000111071. The next prime is 10211000111131. The reversal of 10211000111113 is 31111100011201.

Together with next prime (10211000111131) 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., 10050846474249 + 160153636864 = 3170307^2 + 400192^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211000111113 - 2¹³ = 10211000102921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211000111093 and 10211000111102.

It is not a weakly prime, because it can be changed into another prime (10211000111413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105500055556 + 5105500055557.

It is an arithmetic number, because the mean of its divisors is an integer number (5105500055557).

Almost surely, 2^{10211000111113} is an apocalyptic number.

It is an amenable number.

10211000111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211000111113 is an equidigital number, since it uses as much as digits as its factorization.

10211000111113 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 13.

Adding to 10211000111113 its reverse (31111100011201), we get a palindrome (41322100122314).

The spelling of 10211000111113 in words is "ten trillion, two hundred eleven billion, one hundred eleven thousand, one hundred thirteen".