1003013313 has 16 divisors (see below), whose sum is σ = 1381026240. Its totient is φ = 647123904.

The previous prime is 1003013273. The next prime is 1003013329. The reversal of 1003013313 is 3133103001.

It is not a de Polignac number, because 1003013313 - 2¹³ = 1003005121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003013292 and 1003013301.

It is not an unprimeable number, because it can be changed into a prime (1003013113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21606 + ... + 49727.

It is an arithmetic number, because the mean of its divisors is an integer number (86314140).

Almost surely, 2^1003013313 is an apocalyptic number.

It is an amenable number.

1003013313 is a deficient number, since it is larger than the sum of its proper divisors (378012927).

1003013313 is a wasteful number, since it uses less digits than its factorization.

1003013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71488.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1003013313 is about 31670.3854255044. The cubic root of 1003013313 is about 1001.0034304572.

Adding to 1003013313 its reverse (3133103001), we get a palindrome (4136116314).

The spelling of 1003013313 in words is "one billion, three million, thirteen thousand, three hundred thirteen".