10003003111113 has 16 divisors (see below), whose sum is σ = 13498361944896. Its totient is φ = 6588617898240.

The previous prime is 10003003111093. The next prime is 10003003111139. The reversal of 10003003111113 is 31111130030001.

It is not a de Polignac number, because 10003003111113 - 2¹⁶ = 10003003045577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003003111092 and 10003003111101.

It is not an unprimeable number, because it can be changed into a prime (10003003111813) 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 15 ways as a sum of consecutive naturals, for example, 57586756 + ... + 57760197.

It is an arithmetic number, because the mean of its divisors is an integer number (843647621556).

Almost surely, 2^{10003003111113} is an apocalyptic number.

It is an amenable number.

10003003111113 is a deficient number, since it is larger than the sum of its proper divisors (3495358833783).

10003003111113 is a wasteful number, since it uses less digits than its factorization.

10003003111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115347304.

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

Adding to 10003003111113 its reverse (31111130030001), we get a palindrome (41114133141114).

The spelling of 10003003111113 in words is "ten trillion, three billion, three million, one hundred eleven thousand, one hundred thirteen".