13331244432220 has 576 divisors, whose sum is σ = 35100357626880. Its totient is φ = 4216351518720.

The previous prime is 13331244432131. The next prime is 13331244432223. The reversal of 13331244432220 is 2223444213331.

It is a super-2 number, since 2×13331244432220² (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 (13331244432223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18039572611 + ... + 18039573349.

It is an arithmetic number, because the mean of its divisors is an integer number (60938120880).

Almost surely, 2^{13331244432220} is an apocalyptic number.

13331244432220 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 13331244432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550178813440).

13331244432220 is an abundant number, since it is smaller than the sum of its proper divisors (21769113194660).

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

13331244432220 is a wasteful number, since it uses less digits than its factorization.

13331244432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

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

Adding to 13331244432220 its reverse (2223444213331), we get a palindrome (15554688645551).

The spelling of 13331244432220 in words is "thirteen trillion, three hundred thirty-one billion, two hundred forty-four million, four hundred thirty-two thousand, two hundred twenty".