100013021113 has 6 divisors (see below), whose sum is σ = 106242206126. Its totient is φ = 94129901952.

The previous prime is 100013021063. The next prime is 100013021131. The reversal of 100013021113 is 311120310001.

It can be written as a sum of positive squares in 3 ways, for example, as 52053335104 + 47959686009 = 228152^2 + 218997^2 .

It is not a de Polignac number, because 100013021113 - 2¹³ = 100013012921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013021093 and 100013021102.

It is not an unprimeable number, because it can be changed into a prime (100013021413) 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, 173032620 + ... + 173033197.

Almost surely, 2^100013021113 is an apocalyptic number.

It is an amenable number.

100013021113 is a deficient number, since it is larger than the sum of its proper divisors (6229185013).

100013021113 is an equidigital number, since it uses as much as digits as its factorization.

100013021113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346065851 (or 346065834 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100013021113 its reverse (311120310001), we get a palindrome (411133331114).

The spelling of 100013021113 in words is "one hundred billion, thirteen million, twenty-one thousand, one hundred thirteen".