10003110011113 has 8 divisors (see below), whose sum is σ = 10069923951360. Its totient is φ = 9936303547200.

The previous prime is 10003110011107. The next prime is 10003110011161. The reversal of 10003110011113 is 31111001130001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10003110011113 - 2¹⁷ = 10003109880041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003110011093 and 10003110011102.

It is not an unprimeable number, because it can be changed into a prime (10003110011513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828753 + ... + 4548961.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740493920).

Almost surely, 2^{10003110011113} is an apocalyptic number.

It is an amenable number.

10003110011113 is a deficient number, since it is larger than the sum of its proper divisors (66813940247).

10003110011113 is a wasteful number, since it uses less digits than its factorization.

10003110011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738167.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10003110011113 its reverse (31111001130001), we get a palindrome (41114111141114).

The spelling of 10003110011113 in words is "ten trillion, three billion, one hundred ten million, eleven thousand, one hundred thirteen".