10003111113 has 16 divisors (see below), whose sum is σ = 13812099840. Its totient is φ = 6435169104.

The previous prime is 10003111057. The next prime is 10003111133. The reversal of 10003111113 is 31111130001.

10003111113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003111113 - 2¹² = 10003107017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10003111133) 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, 456423 + ... + 477836.

It is an arithmetic number, because the mean of its divisors is an integer number (863256240).

Almost surely, 2^10003111113 is an apocalyptic number.

It is an amenable number.

10003111113 is a deficient number, since it is larger than the sum of its proper divisors (3808988727).

10003111113 is an equidigital number, since it uses as much as digits as its factorization.

10003111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934388.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10003111113 its reverse (31111130001), we get a palindrome (41114241114).

It can be divided in two parts, 1000 and 3111113, that added together give a palindrome (3112113).

The spelling of 10003111113 in words is "ten billion, three million, one hundred eleven thousand, one hundred thirteen".