1003131120 has 40 divisors (see below), whose sum is σ = 3109707216. Its totient is φ = 267501568.

The previous prime is 1003131119. The next prime is 1003131149. The reversal of 1003131120 is 211313001.

1003131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1003131096 and 1003131105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089617 + ... + 2090096.

Almost surely, 2^1003131120 is an apocalyptic number.

1003131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003131120 is an abundant number, since it is smaller than the sum of its proper divisors (2106576096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003131120 is a wasteful number, since it uses less digits than its factorization.

1003131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179729 (or 4179723 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1003131120 is about 31672.2452630059. The cubic root of 1003131120 is about 1001.0426192340.

Adding to 1003131120 its reverse (211313001), we get a palindrome (1214444121).

The spelling of 1003131120 in words is "one billion, three million, one hundred thirty-one thousand, one hundred twenty".