13124333525013 has 12 divisors (see below), whose sum is σ = 18957935812140. Its totient is φ = 8749294838016.

The previous prime is 13124333524993. The next prime is 13124333525101. The reversal of 13124333525013 is 31052533342131.

13124333525013 is a `hidden beast` number, since 1 + 3 + 1 + 243 + 3 + 352 + 50 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7412888366244 + 5711445158769 = 2722662^2 + 2389863^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13124333525013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124333545013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21418206 + ... + 22022447.

It is an arithmetic number, because the mean of its divisors is an integer number (1579827984345).

Almost surely, 2^{13124333525013} is an apocalyptic number.

It is an amenable number.

13124333525013 is a deficient number, since it is larger than the sum of its proper divisors (5833602287127).

13124333525013 is a wasteful number, since it uses less digits than its factorization.

13124333525013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43474228 (or 43474225 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 13124333525013 its reverse (31052533342131), we get a palindrome (44176866867144).

The spelling of 13124333525013 in words is "thirteen trillion, one hundred twenty-four billion, three hundred thirty-three million, five hundred twenty-five thousand, thirteen".