100000110113 has 2 divisors, whose sum is σ = 100000110114. Its totient is φ = 100000110112.

The previous prime is 100000110109. The next prime is 100000110131. The reversal of 100000110113 is 311011000001.

Together with next prime (100000110131) 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., 99769434769 + 230675344 = 315863^2 + 15188^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000110113 - 2² = 100000110109 is a prime.

It is a super-2 number, since 2×100000110113² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100000110113.

It is not a weakly prime, because it can be changed into another prime (100000110173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000055056 + 50000055057.

It is an arithmetic number, because the mean of its divisors is an integer number (50000055057).

Almost surely, 2^100000110113 is an apocalyptic number.

It is an amenable number.

100000110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000110113 is an equidigital number, since it uses as much as digits as its factorization.

100000110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100000110113 its reverse (311011000001), we get a palindrome (411011110114).

The spelling of 100000110113 in words is "one hundred billion, one hundred ten thousand, one hundred thirteen".