13102112110013 has 4 divisors (see below), whose sum is σ = 13177846862268. Its totient is φ = 13026377357760.

The previous prime is 13102112109991. The next prime is 13102112110039. The reversal of 13102112110013 is 31001121120131.

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 12767493824569 + 334618285444 = 3573163^2 + 578462^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102112110013 - 2¹⁰ = 13102112108989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13102112109973 and 13102112110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102112110063) 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, 37867375868 + ... + 37867376213.

It is an arithmetic number, because the mean of its divisors is an integer number (3294461715567).

Almost surely, 2^{13102112110013} is an apocalyptic number.

It is an amenable number.

13102112110013 is a deficient number, since it is larger than the sum of its proper divisors (75734752255).

13102112110013 is an equidigital number, since it uses as much as digits as its factorization.

13102112110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75734752254.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13102112110013 its reverse (31001121120131), we get a palindrome (44103233230144).

The spelling of 13102112110013 in words is "thirteen trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, thirteen".