13331322424420 has 576 divisors, whose sum is σ = 38665934496000. Its totient is φ = 3795097743360.

The previous prime is 13331322424403. The next prime is 13331322424421. The reversal of 13331322424420 is 2442422313331.

It is a super-2 number, since 2×13331322424420² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13331322424421) 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 191 ways as a sum of consecutive naturals, for example, 6118090891 + ... + 6118093069.

It is an arithmetic number, because the mean of its divisors is an integer number (67128358500).

Almost surely, 2^{13331322424420} is an apocalyptic number.

13331322424420 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 13331322424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332967248000).

13331322424420 is an abundant number, since it is smaller than the sum of its proper divisors (25334612071580).

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

13331322424420 is a wasteful number, since it uses less digits than its factorization.

13331322424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2659 counting only the distinct ones).

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

Adding to 13331322424420 its reverse (2442422313331), we get a palindrome (15773744737751).

The spelling of 13331322424420 in words is "thirteen trillion, three hundred thirty-one billion, three hundred twenty-two million, four hundred twenty-four thousand, four hundred twenty".