1003141320 has 256 divisors, whose sum is σ = 3309465600. Its totient is φ = 242457600.

The previous prime is 1003141267. The next prime is 1003141331. The reversal of 1003141320 is 231413001.

1003141320 = T₃₆₄₇ + T₃₆₄₈ + ... + T₃₇₉₁.

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 1003141320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6643245 + ... + 6643395.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2^1003141320 is an apocalyptic number.

1003141320 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 1003141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

1003141320 is an abundant number, since it is smaller than the sum of its proper divisors (2306324280).

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

1003141320 is a wasteful number, since it uses less digits than its factorization.

1003141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1003141320 is about 31672.4062868611. The cubic root of 1003141320 is about 1001.0460121438.

Adding to 1003141320 its reverse (231413001), we get a palindrome (1234554321).

The spelling of 1003141320 in words is "one billion, three million, one hundred forty-one thousand, three hundred twenty".