100113111313 has 8 divisors (see below), whose sum is σ = 102459680928. Its totient is φ = 97767376224.

The previous prime is 100113111311. The next prime is 100113111331. The reversal of 100113111313 is 313111311001.

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 100113111313 - 2¹ = 100113111311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37470 + ... + 449032.

It is an arithmetic number, because the mean of its divisors is an integer number (12807460116).

Almost surely, 2^100113111313 is an apocalyptic number.

It is an amenable number.

100113111313 is a deficient number, since it is larger than the sum of its proper divisors (2346569615).

100113111313 is an equidigital number, since it uses as much as digits as its factorization.

100113111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417263.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 100113111313 its reverse (313111311001), we get a palindrome (413224422314).

The spelling of 100113111313 in words is "one hundred billion, one hundred thirteen million, one hundred eleven thousand, three hundred thirteen".