100313113113 has 6 divisors (see below), whose sum is σ = 144896718954. Its totient is φ = 66875408736.

The previous prime is 100313113111. The next prime is 100313113129. The reversal of 100313113113 is 311311313001.

100313113113 is a `hidden beast` number, since 10 + 0 + 31 + 311 + 311 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58096425024 + 42216688089 = 241032^2 + 205467^2 .

It is not a de Polignac number, because 100313113113 - 2¹ = 100313113111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100313113111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5572950720 + ... + 5572950737.

It is an arithmetic number, because the mean of its divisors is an integer number (24149453159).

Almost surely, 2^100313113113 is an apocalyptic number.

It is an amenable number.

100313113113 is a deficient number, since it is larger than the sum of its proper divisors (44583605841).

100313113113 is a wasteful number, since it uses less digits than its factorization.

100313113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145901463 (or 11145901460 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100313113113 its reverse (311311313001), we get a palindrome (411624426114).

The spelling of 100313113113 in words is "one hundred billion, three hundred thirteen million, one hundred thirteen thousand, one hundred thirteen".