13003002002013 has 64 divisors (see below), whose sum is σ = 18671780413440. Its totient is φ = 8028910771200.

The previous prime is 13003002001903. The next prime is 13003002002057. The reversal of 13003002002013 is 31020020030031.

It is not a de Polignac number, because 13003002002013 - 2¹⁷ = 13003001870941 is a prime.

It is a super-2 number, since 2×13003002002013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13003002001983 and 13003002002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003002007013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201599073 + ... + 201663561.

It is an arithmetic number, because the mean of its divisors is an integer number (291746568960).

Almost surely, 2^{13003002002013} is an apocalyptic number.

It is an amenable number.

13003002002013 is a deficient number, since it is larger than the sum of its proper divisors (5668778411427).

13003002002013 is a wasteful number, since it uses less digits than its factorization.

13003002002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65090.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13003002002013 its reverse (31020020030031), we get a palindrome (44023022032044).

The spelling of 13003002002013 in words is "thirteen trillion, three billion, two million, two thousand, thirteen".