13131444121331 has 8 divisors (see below), whose sum is σ = 13297593221184. Its totient is φ = 12966003547200.

The previous prime is 13131444121309. The next prime is 13131444121339. The reversal of 13131444121331 is 13312144413131.

It is a happy number.

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 13131444121331 - 2¹⁸ = 13131443859187 is a prime.

It is a super-2 number, since 2×13131444121331² (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 (13131444121339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177094130 + ... + 177168263.

It is an arithmetic number, because the mean of its divisors is an integer number (1662199152648).

Almost surely, 2^{13131444121331} is an apocalyptic number.

13131444121331 is a deficient number, since it is larger than the sum of its proper divisors (166149099853).

13131444121331 is a wasteful number, since it uses less digits than its factorization.

13131444121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354262861.

The product of its digits is 10368, while the sum is 32.

Adding to 13131444121331 its reverse (13312144413131), we get a palindrome (26443588534462).

The spelling of 13131444121331 in words is "thirteen trillion, one hundred thirty-one billion, four hundred forty-four million, one hundred twenty-one thousand, three hundred thirty-one".