110100001010113 has 2 divisors, whose sum is σ = 110100001010114. Its totient is φ = 110100001010112.

The previous prime is 110100001010089. The next prime is 110100001010137. The reversal of 110100001010113 is 311010100001011.

It is a balanced prime because it is at equal distance from previous prime (110100001010089) and next prime (110100001010137).

It can be written as a sum of positive squares in only one way, i.e., 108231730288704 + 1868270721409 = 10403448^2 + 1366847^2 .

It is an emirp because it is prime and its reverse (311010100001011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110100001010113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110100001010113.

It is not a weakly prime, because it can be changed into another prime (110100001010143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050000505056 + 55050000505057.

It is an arithmetic number, because the mean of its divisors is an integer number (55050000505057).

Almost surely, 2^{110100001010113} is an apocalyptic number.

It is an amenable number.

110100001010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100001010113 is an equidigital number, since it uses as much as digits as its factorization.

110100001010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 110100001010113 its reverse (311010100001011), we get a palindrome (421110101011124).

The spelling of 110100001010113 in words is "one hundred ten trillion, one hundred billion, one million, ten thousand, one hundred thirteen".