13142233034224 has 160 divisors (see below), whose sum is σ = 31584675594240. Its totient is φ = 5176463846400.

The previous prime is 13142233034201. The next prime is 13142233034243. The reversal of 13142233034224 is 42243033224131.

It is a self number, because there is not a number n which added to its sum of digits gives 13142233034224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5072097 + ... + 7211839.

It is an arithmetic number, because the mean of its divisors is an integer number (197404222464).

Almost surely, 2^{13142233034224} is an apocalyptic number.

13142233034224 is a gapful number since it is divisible by the number (14) 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 13142233034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792337797120).

13142233034224 is an abundant number, since it is smaller than the sum of its proper divisors (18442442560016).

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

13142233034224 is a wasteful number, since it uses less digits than its factorization.

13142233034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139879 (or 2139873 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 13142233034224 its reverse (42243033224131), we get a palindrome (55385266258355).

The spelling of 13142233034224 in words is "thirteen trillion, one hundred forty-two billion, two hundred thirty-three million, thirty-four thousand, two hundred twenty-four".