13202013013 has 6 divisors (see below), whose sum is σ = 15357443766. Its totient is φ = 11316011112.

The previous prime is 13202013007. The next prime is 13202013049. The reversal of 13202013013 is 31031020231.

It can be written as a sum of positive squares in only one way, i.e., 11092723684 + 2109289329 = 105322^2 + 45927^2 .

It is not a de Polignac number, because 13202013013 - 2²⁵ = 13168458581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202013053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134714370 + ... + 134714467.

It is an arithmetic number, because the mean of its divisors is an integer number (2559573961).

Almost surely, 2^13202013013 is an apocalyptic number.

It is an amenable number.

13202013013 is a deficient number, since it is larger than the sum of its proper divisors (2155430753).

13202013013 is an equidigital number, since it uses as much as digits as its factorization.

13202013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269428851 (or 269428844 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13202013013 its reverse (31031020231), we get a palindrome (44233033244).

The spelling of 13202013013 in words is "thirteen billion, two hundred two million, thirteen thousand, thirteen".