13220433303030 has 128 divisors (see below), whose sum is σ = 36223559717760. Its totient is φ = 3428627304960.

The previous prime is 13220433303001. The next prime is 13220433303059. The reversal of 13220433303030 is 3030333402231.

It is a happy number.

13220433303030 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 4 + 3 + 330 + 303 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13220433303001) and next prime (13220433303059).

It is a super-3 number, since 3×13220433303030³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13220433302985 and 13220433303003.

It is a congruent number.

It is an unprimeable number.

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, 22051840 + ... + 22643420.

It is an arithmetic number, because the mean of its divisors is an integer number (282996560295).

Almost surely, 2^{13220433303030} is an apocalyptic number.

13220433303030 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 13220433303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111779858880).

13220433303030 is an abundant number, since it is smaller than the sum of its proper divisors (23003126414730).

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

13220433303030 is a wasteful number, since it uses less digits than its factorization.

13220433303030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593871 (or 593865 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13220433303030 its reverse (3030333402231), we get a palindrome (16250766705261).

The spelling of 13220433303030 in words is "thirteen trillion, two hundred twenty billion, four hundred thirty-three million, three hundred three thousand, thirty".