100001033113 has 2 divisors, whose sum is σ = 100001033114. Its totient is φ = 100001033112.

The previous prime is 100001033081. The next prime is 100001033129. The reversal of 100001033113 is 311330100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97726887769 + 2274145344 = 312613^2 + 47688^2 .

It is an emirp because it is prime and its reverse (311330100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100001033113 - 2⁵ = 100001033081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001033093 and 100001033102.

It is not a weakly prime, because it can be changed into another prime (100001039113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000516556 + 50000516557.

It is an arithmetic number, because the mean of its divisors is an integer number (50000516557).

Almost surely, 2^100001033113 is an apocalyptic number.

It is an amenable number.

100001033113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001033113 is an equidigital number, since it uses as much as digits as its factorization.

100001033113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100001033113 its reverse (311330100001), we get a palindrome (411331133114).

The spelling of 100001033113 in words is "one hundred billion, one million, thirty-three thousand, one hundred thirteen".