13102101202013 has 16 divisors (see below), whose sum is σ = 13209842145456. Its totient is φ = 12994808279040.

The previous prime is 13102101201971. The next prime is 13102101202033. The reversal of 13102101202013 is 31020210120131.

It can be written as a sum of positive squares in 8 ways, for example, as 194765990329 + 12907335211684 = 441323^2 + 3592678^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102101202013 - 2²⁴ = 13102084424797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13102101201982 and 13102101202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102101202033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168453053 + ... + 168530813.

It is an arithmetic number, because the mean of its divisors is an integer number (825615134091).

Almost surely, 2^{13102101202013} is an apocalyptic number.

It is an amenable number.

13102101202013 is a deficient number, since it is larger than the sum of its proper divisors (107740943443).

13102101202013 is a wasteful number, since it uses less digits than its factorization.

13102101202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80624.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13102101202013 its reverse (31020210120131), we get a palindrome (44122311322144).

The spelling of 13102101202013 in words is "thirteen trillion, one hundred two billion, one hundred one million, two hundred two thousand, thirteen".