1003141113 has 24 divisors (see below), whose sum is σ = 1505788032. Its totient is φ = 590465568.

The previous prime is 1003141079. The next prime is 1003141129. The reversal of 1003141113 is 3111413001.

It is not a de Polignac number, because 1003141113 - 2⁹ = 1003140601 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1003141092 and 1003141101.

It is not an unprimeable number, because it can be changed into a prime (1003141133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3681 + ... + 44942.

It is an arithmetic number, because the mean of its divisors is an integer number (62741168).

Almost surely, 2^1003141113 is an apocalyptic number.

1003141113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003141113 is a deficient number, since it is larger than the sum of its proper divisors (502646919).

1003141113 is a wasteful number, since it uses less digits than its factorization.

1003141113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48685 (or 48662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1003141113 is about 31672.4030190322. The cubic root of 1003141113 is about 1001.0459432879.

Adding to 1003141113 its reverse (3111413001), we get a palindrome (4114554114).

The spelling of 1003141113 in words is "one billion, three million, one hundred forty-one thousand, one hundred thirteen".