10113103011161 has 2 divisors, whose sum is σ = 10113103011162. Its totient is φ = 10113103011160.

The previous prime is 10113103011103. The next prime is 10113103011163. The reversal of 10113103011161 is 16111030131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8436375847936 + 1676727163225 = 2904544^2 + 1294885^2 .

It is an emirp because it is prime and its reverse (16111030131101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10113103011161 - 2⁶ = 10113103011097 is a prime.

Together with 10113103011163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10113103011163) 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, 5056551505580 + 5056551505581.

It is an arithmetic number, because the mean of its divisors is an integer number (5056551505581).

Almost surely, 2^{10113103011161} is an apocalyptic number.

It is an amenable number.

10113103011161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113103011161 is an equidigital number, since it uses as much as digits as its factorization.

10113103011161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 10113103011161 its reverse (16111030131101), we get a palindrome (26224133142262).

The spelling of 10113103011161 in words is "ten trillion, one hundred thirteen billion, one hundred three million, eleven thousand, one hundred sixty-one".