13006531437041 has 8 divisors (see below), whose sum is σ = 13047958391400. Its totient is φ = 12965166734080.

The previous prime is 13006531437017. The next prime is 13006531437149. The reversal of 13006531437041 is 14073413560031.

It can be written as a sum of positive squares in 4 ways, for example, as 3281514135025 + 9725017302016 = 1811495^2 + 3118496^2 .

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 13006531437041 - 2³⁸ = 12731653530097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13006531436986 and 13006531437004.

It is not an unprimeable number, because it can be changed into a prime (13006531437841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15144296 + ... + 15980073.

It is an arithmetic number, because the mean of its divisors is an integer number (1630994798925).

Almost surely, 2^{13006531437041} is an apocalyptic number.

It is an amenable number.

13006531437041 is a deficient number, since it is larger than the sum of its proper divisors (41426954359).

13006531437041 is an equidigital number, since it uses as much as digits as its factorization.

13006531437041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31125699.

The product of its (nonzero) digits is 90720, while the sum is 38.

Adding to 13006531437041 its reverse (14073413560031), we get a palindrome (27079944997072).

The spelling of 13006531437041 in words is "thirteen trillion, six billion, five hundred thirty-one million, four hundred thirty-seven thousand, forty-one".