100000011013 has 16 divisors (see below), whose sum is σ = 121131659520. Its totient is φ = 80590116096.

The previous prime is 100000011011. The next prime is 100000011043. The reversal of 100000011013 is 310110000001.

It is a happy number.

It is not a de Polignac number, because 100000011013 - 2¹ = 100000011011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000010987 and 100000011005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310458 + ... + 544411.

It is an arithmetic number, because the mean of its divisors is an integer number (7570728720).

Almost surely, 2^100000011013 is an apocalyptic number.

It is an amenable number.

100000011013 is a deficient number, since it is larger than the sum of its proper divisors (21131648507).

100000011013 is an equidigital number, since it uses as much as digits as its factorization.

100000011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855876.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100000011013 its reverse (310110000001), we get a palindrome (410110011014).

The spelling of 100000011013 in words is "one hundred billion, eleven thousand, thirteen".