1313003003013 has 48 divisors (see below), whose sum is σ = 2118016700800. Its totient is φ = 778531036032.

The previous prime is 1313003003003. The next prime is 1313003003083. The reversal of 1313003003013 is 3103003003131.

1313003003013 is a `hidden beast` number, since 1 + 31 + 30 + 0 + 300 + 301 + 3 = 666.

It is not a de Polignac number, because 1313003003013 - 2⁵ = 1313003002981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313003003003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026463 + ... + 1918236.

Almost surely, 2^{1313003003013} is an apocalyptic number.

1313003003013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313003003013 is a deficient number, since it is larger than the sum of its proper divisors (805013697787).

1313003003013 is a wasteful number, since it uses less digits than its factorization.

1313003003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944858 (or 2944855 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1313003003013 its reverse (3103003003131), we get a palindrome (4416006006144).

It can be divided in two parts, 131300 and 3003013, that added together give a palindrome (3134313).

The spelling of 1313003003013 in words is "one trillion, three hundred thirteen billion, three million, three thousand, thirteen".