13002010013 has 4 divisors (see below), whose sum is σ = 13002273660. Its totient is φ = 13001746368.

The previous prime is 13002010001. The next prime is 13002010019. The reversal of 13002010013 is 31001020031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1042837849 + 11959172164 = 32293^2 + 109358^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002010013 - 2¹⁰ = 13002008989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13002009976 and 13002010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002010019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33308 + ... + 164661.

It is an arithmetic number, because the mean of its divisors is an integer number (3250568415).

Almost surely, 2^13002010013 is an apocalyptic number.

It is an amenable number.

13002010013 is a deficient number, since it is larger than the sum of its proper divisors (263647).

13002010013 is an equidigital number, since it uses as much as digits as its factorization.

13002010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263646.

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

Adding to 13002010013 its reverse (31001020031), we get a palindrome (44003030044).

The spelling of 13002010013 in words is "thirteen billion, two million, ten thousand, thirteen".