13004821125918 has 48 divisors (see below), whose sum is σ = 28444989300000. Its totient is φ = 4293893073600.

The previous prime is 13004821125811. The next prime is 13004821126001. The reversal of 13004821125918 is 81952112840031.

13004821125918 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 48 + 2 + 1 + 12 + 591 + 8 = 666.

It is a super-2 number, since 2×13004821125918² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5906293 + ... + 7803456.

It is an arithmetic number, because the mean of its divisors is an integer number (592603943750).

Almost surely, 2^{13004821125918} is an apocalyptic number.

13004821125918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13004821125918 is an abundant number, since it is smaller than the sum of its proper divisors (15440168174082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13004821125918 is a wasteful number, since it uses less digits than its factorization.

13004821125918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13710257 (or 13710254 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

Adding to 13004821125918 its reverse (81952112840031), we get a palindrome (94956933965949).

The spelling of 13004821125918 in words is "thirteen trillion, four billion, eight hundred twenty-one million, one hundred twenty-five thousand, nine hundred eighteen".