1003120010113 has 16 divisors (see below), whose sum is σ = 1094071104000. Its totient is φ = 914141067840.

The previous prime is 1003120010111. The next prime is 1003120010143. The reversal of 1003120010113 is 3110100213001.

It is not a de Polignac number, because 1003120010113 - 2¹ = 1003120010111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003120010093 and 1003120010102.

It is not an unprimeable number, because it can be changed into a prime (1003120010111) 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, 11026788 + ... + 11117386.

It is an arithmetic number, because the mean of its divisors is an integer number (68379444000).

Almost surely, 2^{1003120010113} is an apocalyptic number.

1003120010113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003120010113 is a deficient number, since it is larger than the sum of its proper divisors (90951093887).

1003120010113 is a wasteful number, since it uses less digits than its factorization.

1003120010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101472.

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

Adding to 1003120010113 its reverse (3110100213001), we get a palindrome (4113220223114).

The spelling of 1003120010113 in words is "one trillion, three billion, one hundred twenty million, ten thousand, one hundred thirteen".