100113113013 has 16 divisors (see below), whose sum is σ = 134919323136. Its totient is φ = 66025828080.

The previous prime is 100113113003. The next prime is 100113113063. The reversal of 100113113013 is 310311311001.

It is not a de Polignac number, because 100113113013 - 2⁶ = 100113112949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100113112983 and 100113113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113113003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133206 + ... + 466872.

It is an arithmetic number, because the mean of its divisors is an integer number (8432457696).

Almost surely, 2^100113113013 is an apocalyptic number.

It is an amenable number.

100113113013 is a deficient number, since it is larger than the sum of its proper divisors (34806210123).

100113113013 is a wasteful number, since it uses less digits than its factorization.

100113113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334744.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100113113013 its reverse (310311311001), we get a palindrome (410424424014).

The spelling of 100113113013 in words is "one hundred billion, one hundred thirteen million, one hundred thirteen thousand, thirteen".