100113100113323 has 32 divisors (see below), whose sum is σ = 116668541548800. Its totient is φ = 84895477954560.

The previous prime is 100113100113307. The next prime is 100113100113331. The reversal of 100113100113323 is 323311001311001.

It is a cyclic number.

It is not a de Polignac number, because 100113100113323 - 2⁴ = 100113100113307 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100113100113295 and 100113100113304.

It is not an unprimeable number, because it can be changed into a prime (100113100113343) 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 31 ways as a sum of consecutive naturals, for example, 407008028 + ... + 407253926.

It is an arithmetic number, because the mean of its divisors is an integer number (3645891923400).

Almost surely, 2^{100113100113323} is an apocalyptic number.

100113100113323 is a deficient number, since it is larger than the sum of its proper divisors (16555441435477).

100113100113323 is a wasteful number, since it uses less digits than its factorization.

100113100113323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265307.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100113100113323 its reverse (323311001311001), we get a palindrome (423424101424324).

The spelling of 100113100113323 in words is "one hundred trillion, one hundred thirteen billion, one hundred million, one hundred thirteen thousand, three hundred twenty-three".