13131444132513 has 48 divisors (see below), whose sum is σ = 21775948022400. Its totient is φ = 7469548565760.

The previous prime is 13131444132479. The next prime is 13131444132517. The reversal of 13131444132513 is 31523144413131.

13131444132513 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 4 + 4 + 4 + 132 + 513 = 666.

It is not a de Polignac number, because 13131444132513 - 2⁶ = 13131444132449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13131444132517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81561973 + ... + 81722813.

It is an arithmetic number, because the mean of its divisors is an integer number (453665583800).

Almost surely, 2^{13131444132513} is an apocalyptic number.

It is an amenable number.

13131444132513 is a deficient number, since it is larger than the sum of its proper divisors (8644503889887).

13131444132513 is a wasteful number, since it uses less digits than its factorization.

13131444132513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166742 (or 166739 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 13131444132513 its reverse (31523144413131), we get a palindrome (44654588545644).

The spelling of 13131444132513 in words is "thirteen trillion, one hundred thirty-one billion, four hundred forty-four million, one hundred thirty-two thousand, five hundred thirteen".