10211103112313 has 2 divisors, whose sum is σ = 10211103112314. Its totient is φ = 10211103112312.

The previous prime is 10211103112291. The next prime is 10211103112321. The reversal of 10211103112313 is 31321130111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10167150828409 + 43952283904 = 3188597^2 + 209648^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211103112313 - 2³⁶ = 10142383635577 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211103112013) 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, 5105551556156 + 5105551556157.

It is an arithmetic number, because the mean of its divisors is an integer number (5105551556157).

Almost surely, 2^{10211103112313} is an apocalyptic number.

It is an amenable number.

10211103112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211103112313 is an equidigital number, since it uses as much as digits as its factorization.

10211103112313 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 20.

Adding to 10211103112313 its reverse (31321130111201), we get a palindrome (41532233223514).

The spelling of 10211103112313 in words is "ten trillion, two hundred eleven billion, one hundred three million, one hundred twelve thousand, three hundred thirteen".