100011311324401 has 8 divisors (see below), whose sum is σ = 103096157368680. Its totient is φ = 96946561997568.

The previous prime is 100011311324347. The next prime is 100011311324443. The reversal of 100011311324401 is 104423113110001.

It can be written as a sum of positive squares in 4 ways, for example, as 41118886584801 + 58892424739600 = 6412401^2 + 7674140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100011311324401 - 2²³ = 100011302935793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011311324461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5024169256 + ... + 5024189161.

It is an arithmetic number, because the mean of its divisors is an integer number (12887019671085).

Almost surely, 2^{100011311324401} is an apocalyptic number.

It is an amenable number.

100011311324401 is a deficient number, since it is larger than the sum of its proper divisors (3084846044279).

100011311324401 is a wasteful number, since it uses less digits than its factorization.

100011311324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048358723.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 100011311324401 its reverse (104423113110001), we get a palindrome (204434424434402).

The spelling of 100011311324401 in words is "one hundred trillion, eleven billion, three hundred eleven million, three hundred twenty-four thousand, four hundred one".