13331244242010 has 128 divisors (see below), whose sum is σ = 35240596439040. Its totient is φ = 3221461995840.

The previous prime is 13331244241981. The next prime is 13331244242011. The reversal of 13331244242010 is 1024244213331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13331244242011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3324295 + ... + 6141125.

It is an arithmetic number, because the mean of its divisors is an integer number (275317159680).

Almost surely, 2^{13331244242010} is an apocalyptic number.

13331244242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331244242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620298219520).

13331244242010 is an abundant number, since it is smaller than the sum of its proper divisors (21909352197030).

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

13331244242010 is a wasteful number, since it uses less digits than its factorization.

13331244242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816921 (or 2816883 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13331244242010 its reverse (1024244213331), we get a palindrome (14355488455341).

The spelling of 13331244242010 in words is "thirteen trillion, three hundred thirty-one billion, two hundred forty-four million, two hundred forty-two thousand, ten".