13131011430241 has 8 divisors (see below), whose sum is σ = 13904585702280. Its totient is φ = 12357566251008.

The previous prime is 13131011430239. The next prime is 13131011430283. The reversal of 13131011430241 is 14203411013131.

It can be written as a sum of positive squares in 4 ways, for example, as 353289616 + 13130658140625 = 18796^2 + 3623625^2 .

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

It is not a de Polignac number, because 13131011430241 - 2¹ = 13131011430239 is a prime.

It is a super-2 number, since 2×13131011430241² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131011430841) by changing a digit.

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, 32063736 + ... + 32470681.

It is an arithmetic number, because the mean of its divisors is an integer number (1738073212785).

Almost surely, 2^{13131011430241} is an apocalyptic number.

It is an amenable number.

13131011430241 is a deficient number, since it is larger than the sum of its proper divisors (773574272039).

13131011430241 is a wasteful number, since it uses less digits than its factorization.

13131011430241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64546403.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13131011430241 its reverse (14203411013131), we get a palindrome (27334422443372).

The spelling of 13131011430241 in words is "thirteen trillion, one hundred thirty-one billion, eleven million, four hundred thirty thousand, two hundred forty-one".