1003133340 has 288 divisors, whose sum is σ = 3497195520. Its totient is φ = 230515200.

The previous prime is 1003133333. The next prime is 1003133353. The reversal of 1003133340 is 433313001.

1003133340 is a `hidden beast` number, since 10 + 0 + 313 + 3 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3621282 + ... + 3621558.

It is an arithmetic number, because the mean of its divisors is an integer number (12143040).

Almost surely, 2^1003133340 is an apocalyptic number.

1003133340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748597760).

1003133340 is an abundant number, since it is smaller than the sum of its proper divisors (2494062180).

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

1003133340 is a wasteful number, since it uses less digits than its factorization.

1003133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1003133340 is about 31672.2803094441. The cubic root of 1003133340 is about 1001.0433576928.

Adding to 1003133340 its reverse (433313001), we get a palindrome (1436446341).

The spelling of 1003133340 in words is "one billion, three million, one hundred thirty-three thousand, three hundred forty".