13124312104513 has 8 divisors (see below), whose sum is σ = 13902176669832. Its totient is φ = 12347097117696.

The previous prime is 13124312104493. The next prime is 13124312104523. The reversal of 13124312104513 is 31540121342131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1668571559824 + 11455740544689 = 1291732^2 + 3384633^2 .

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 13124312104513 - 2⁵ = 13124312104481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13124312104523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162353020 + ... + 162433837.

It is an arithmetic number, because the mean of its divisors is an integer number (1737772083729).

Almost surely, 2^{13124312104513} is an apocalyptic number.

It is an amenable number.

13124312104513 is a deficient number, since it is larger than the sum of its proper divisors (777864565319).

13124312104513 is a wasteful number, since it uses less digits than its factorization.

13124312104513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324789251.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 13124312104513 its reverse (31540121342131), we get a palindrome (44664433446644).

The spelling of 13124312104513 in words is "thirteen trillion, one hundred twenty-four billion, three hundred twelve million, one hundred four thousand, five hundred thirteen".