1003013001 has 12 divisors (see below), whose sum is σ = 1465076340. Its totient is φ = 661161600.

The previous prime is 1003012987. The next prime is 1003013009. The reversal of 1003013001 is 1003103001.

1003013001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 548683776 + 454329225 = 23424^2 + 21315^2 .

It is not a de Polignac number, because 1003013001 - 2¹⁵ = 1002980233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1003013009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625300 + ... + 626901.

It is an arithmetic number, because the mean of its divisors is an integer number (122089695).

Almost surely, 2^1003013001 is an apocalyptic number.

It is an amenable number.

1003013001 is a deficient number, since it is larger than the sum of its proper divisors (462063339).

1003013001 is a wasteful number, since it uses less digits than its factorization.

1003013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252296 (or 1252293 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1003013001 is about 31670.3804997667. The cubic root of 1003013001 is about 1001.0033266656.

Adding to 1003013001 its reverse (1003103001), we get a palindrome (2006116002).

Subtracting 1003013001 from its reverse (1003103001), we obtain a square (90000 = 300²).

The spelling of 1003013001 in words is "one billion, three million, thirteen thousand, one".