1003120013 has 12 divisors (see below), whose sum is σ = 1191724992. Its totient is φ = 841521240.

The previous prime is 1003120007. The next prime is 1003120031. The reversal of 1003120013 is 3100213001.

It is not a de Polignac number, because 1003120013 - 2¹⁶ = 1003054477 is a prime.

It is a super-2 number, since 2×1003120013² = 2012499520962240338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003119976 and 1003120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003120043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 215483 + ... + 220088.

It is an arithmetic number, because the mean of its divisors is an integer number (99310416).

Almost surely, 2^1003120013 is an apocalyptic number.

It is an amenable number.

1003120013 is a deficient number, since it is larger than the sum of its proper divisors (188604979).

1003120013 is an equidigital number, since it uses as much as digits as its factorization.

1003120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435632 (or 435625 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1003120013 is about 31672.0699197258. The cubic root of 1003120013 is about 1001.0389245952.

Adding to 1003120013 its reverse (3100213001), we get a palindrome (4103333014).

The spelling of 1003120013 in words is "one billion, three million, one hundred twenty thousand, thirteen".