13131001332041 has 32 divisors (see below), whose sum is σ = 13662886329120. Its totient is φ = 12609213235200.

The previous prime is 13131001331939. The next prime is 13131001332077. The reversal of 13131001332041 is 14023310013131.

It can be written as a sum of positive squares in 16 ways, for example, as 3974325332041 + 9156676000000 = 1993571^2 + 3026000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13131001332041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131001331998 and 13131001332016.

It is not an unprimeable number, because it can be changed into a prime (13131001332641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2642581805 + ... + 2642586773.

It is an arithmetic number, because the mean of its divisors is an integer number (426965197785).

Almost surely, 2^{13131001332041} is an apocalyptic number.

It is an amenable number.

13131001332041 is a deficient number, since it is larger than the sum of its proper divisors (531884997079).

13131001332041 is a wasteful number, since it uses less digits than its factorization.

13131001332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13131001332041 its reverse (14023310013131), we get a palindrome (27154311345172).

The spelling of 13131001332041 in words is "thirteen trillion, one hundred thirty-one billion, one million, three hundred thirty-two thousand, forty-one".