2003133120 has 112 divisors (see below), whose sum is σ = 6734117088. Its totient is φ = 502743040.

The previous prime is 2003133071. The next prime is 2003133133. The reversal of 2003133120 is 213313002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2003133120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45051 + ... + 77690.

Almost surely, 2^2003133120 is an apocalyptic number.

2003133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003133120 is an abundant number, since it is smaller than the sum of its proper divisors (4730983968).

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

2003133120 is a wasteful number, since it uses less digits than its factorization.

2003133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122778 (or 122768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2003133120 is about 44756.3751883461. The cubic root of 2003133120 is about 1260.5786206130.

Adding to 2003133120 its reverse (213313002), we get a palindrome (2216446122).

The spelling of 2003133120 in words is "two billion, three million, one hundred thirty-three thousand, one hundred twenty".