13010003131105 has 8 divisors (see below), whose sum is σ = 15618982762152. Its totient is φ = 10403349835008.

The previous prime is 13010003131091. The next prime is 13010003131117. The reversal of 13010003131105 is 50113130001031.

It can be written as a sum of positive squares in 4 ways, for example, as 612005806864 + 12397997324241 = 782308^2 + 3521079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13010003131105 - 2²³ = 13009994742497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581571432 + ... + 581593801.

It is an arithmetic number, because the mean of its divisors is an integer number (1952372845269).

Almost surely, 2^{13010003131105} is an apocalyptic number.

It is an amenable number.

13010003131105 is a deficient number, since it is larger than the sum of its proper divisors (2608979631047).

13010003131105 is a wasteful number, since it uses less digits than its factorization.

13010003131105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163167475.

The product of its (nonzero) digits is 135, while the sum is 19.

Adding to 13010003131105 its reverse (50113130001031), we get a palindrome (63123133132136).

The spelling of 13010003131105 in words is "thirteen trillion, ten billion, three million, one hundred thirty-one thousand, one hundred five".