100001311101113 has 4 divisors (see below), whose sum is σ = 100001456504100. Its totient is φ = 100001165698128.

The previous prime is 100001311101091. The next prime is 100001311101143. The reversal of 100001311101113 is 311101113100001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 59911810633984 + 40089500467129 = 7740272^2 + 6331627^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001311101113 - 2²⁶ = 100001243992249 is a prime.

It is a super-2 number, since 2×100001311101113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001311101143) 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 in 3 ways as a sum of consecutive naturals, for example, 71664938 + ... + 73047011.

It is an arithmetic number, because the mean of its divisors is an integer number (25000364126025).

Almost surely, 2^{100001311101113} is an apocalyptic number.

It is an amenable number.

100001311101113 is a deficient number, since it is larger than the sum of its proper divisors (145402987).

100001311101113 is an equidigital number, since it uses as much as digits as its factorization.

100001311101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145402986.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 100001311101113 its reverse (311101113100001), we get a palindrome (411102424201114).

It can be divided in two parts, 100001 and 311101113, that multiplied together give a palindrome (31110422401113).

The spelling of 100001311101113 in words is "one hundred trillion, one billion, three hundred eleven million, one hundred one thousand, one hundred thirteen".