13024414000000 has 896 divisors, whose sum is σ = 37551456835200. Its totient is φ = 4456857600000.

The previous prime is 13024413999997. The next prime is 13024414000019. The reversal of 13024414000000 is 41442031.

13024414000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34917999814 + ... + 34918000186.

It is an arithmetic number, because the mean of its divisors is an integer number (41910108075).

Almost surely, 2^{13024414000000} is an apocalyptic number.

13024414000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775728417600).

13024414000000 is an abundant number, since it is smaller than the sum of its proper divisors (24527042835200).

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

13024414000000 is an frugal number, since it uses more digits than its factorization.

13024414000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13024414000000 its reverse (41442031), we get a palindrome (13024455442031).

The spelling of 13024414000000 in words is "thirteen trillion, twenty-four billion, four hundred fourteen million", and thus it is an aban number.