10211011002113 has 2 divisors, whose sum is σ = 10211011002114. Its totient is φ = 10211011002112.

The previous prime is 10211011002107. The next prime is 10211011002131. The reversal of 10211011002113 is 31120011011201.

Together with next prime (10211011002131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9082098377104 + 1128912625009 = 3013652^2 + 1062503^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211011002113 - 2⁴ = 10211011002097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10211011002713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105505501056 + 5105505501057.

It is an arithmetic number, because the mean of its divisors is an integer number (5105505501057).

Almost surely, 2^{10211011002113} is an apocalyptic number.

It is an amenable number.

10211011002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211011002113 is an equidigital number, since it uses as much as digits as its factorization.

10211011002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10211011002113 its reverse (31120011011201), we get a palindrome (41331022013314).

The spelling of 10211011002113 in words is "ten trillion, two hundred eleven billion, eleven million, two thousand, one hundred thirteen".