13004004242421 has 24 divisors (see below), whose sum is σ = 19271164302936. Its totient is φ = 8444936424960.

The previous prime is 13004004242417. The next prime is 13004004242443. The reversal of 13004004242421 is 12424240040031.

13004004242421 is a `hidden beast` number, since 13 + 0 + 0 + 400 + 4 + 2 + 4 + 242 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 296839728900 + 12707164513521 = 544830^2 + 3564711^2 .

It is not a de Polignac number, because 13004004242421 - 2² = 13004004242417 is a prime.

It is a super-2 number, since 2×13004004242421² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004004242821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26743120 + ... + 27225033.

It is an arithmetic number, because the mean of its divisors is an integer number (802965179289).

Almost surely, 2^{13004004242421} is an apocalyptic number.

It is an amenable number.

13004004242421 is a deficient number, since it is larger than the sum of its proper divisors (6267160060515).

13004004242421 is a wasteful number, since it uses less digits than its factorization.

13004004242421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53968853 (or 53968850 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13004004242421 its reverse (12424240040031), we get a palindrome (25428244282452).

The spelling of 13004004242421 in words is "thirteen trillion, four billion, four million, two hundred forty-two thousand, four hundred twenty-one".