1003013144 has 48 divisors (see below), whose sum is σ = 2191057200. Its totient is φ = 429202368.

The previous prime is 1003013119. The next prime is 1003013177. The reversal of 1003013144 is 4413103001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321062 + ... + 324170.

It is an arithmetic number, because the mean of its divisors is an integer number (45647025).

Almost surely, 2^1003013144 is an apocalyptic number.

1003013144 is a gapful number since it is divisible by the number (14) 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 1003013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095528600).

1003013144 is an abundant number, since it is smaller than the sum of its proper divisors (1188044056).

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

1003013144 is a wasteful number, since it uses less digits than its factorization.

1003013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1003013144 is about 31670.3827573965. The cubic root of 1003013144 is about 1001.0033742368.

Adding to 1003013144 its reverse (4413103001), we get a palindrome (5416116145).

The spelling of 1003013144 in words is "one billion, three million, thirteen thousand, one hundred forty-four".