13022033220 has 432 divisors, whose sum is σ = 47493416880. Its totient is φ = 2878267392.

The previous prime is 13022033209. The next prime is 13022033251. The reversal of 13022033220 is 2233022031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2725466436 + 10296566784 = 52206^2 + 101472^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13022033193 and 13022033202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41603784 + ... + 41604096.

It is an arithmetic number, because the mean of its divisors is an integer number (109938465).

Almost surely, 2^13022033220 is an apocalyptic number.

13022033220 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 13022033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23746708440).

13022033220 is an abundant number, since it is smaller than the sum of its proper divisors (34471383660).

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

13022033220 is a wasteful number, since it uses less digits than its factorization.

13022033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13022033220 its reverse (2233022031), we get a palindrome (15255055251).

The spelling of 13022033220 in words is "thirteen billion, twenty-two million, thirty-three thousand, two hundred twenty".