100113312301 has 16 divisors (see below), whose sum is σ = 103442240880. Its totient is φ = 96846520320.

The previous prime is 100113312269. The next prime is 100113312311. The reversal of 100113312301 is 103213311001.

It can be written as a sum of positive squares in 8 ways, for example, as 8501762025 + 91611550276 = 92205^2 + 302674^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113312301 - 2⁵ = 100113312269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113312311) 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 15 ways as a sum of consecutive naturals, for example, 1540065 + ... + 1603753.

It is an arithmetic number, because the mean of its divisors is an integer number (6465140055).

Almost surely, 2^100113312301 is an apocalyptic number.

It is an amenable number.

100113312301 is a deficient number, since it is larger than the sum of its proper divisors (3328928579).

100113312301 is an equidigital number, since it uses as much as digits as its factorization.

100113312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64176.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100113312301 its reverse (103213311001), we get a palindrome (203326623302).

The spelling of 100113312301 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, three hundred one".