13221132021020 has 384 divisors, whose sum is σ = 36001359636480. Its totient is φ = 3958822010880.

The previous prime is 13221132021001. The next prime is 13221132021029. The reversal of 13221132021020 is 2012023112231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13221132020983 and 13221132021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221132021029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4802443964 + ... + 4802446716.

It is an arithmetic number, because the mean of its divisors is an integer number (93753540720).

Almost surely, 2^{13221132021020} is an apocalyptic number.

13221132021020 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 13221132021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000679818240).

13221132021020 is an abundant number, since it is smaller than the sum of its proper divisors (22780227615460).

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

13221132021020 is a wasteful number, since it uses less digits than its factorization.

13221132021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13221132021020 its reverse (2012023112231), we get a palindrome (15233155133251).

The spelling of 13221132021020 in words is "thirteen trillion, two hundred twenty-one billion, one hundred thirty-two million, twenty-one thousand, twenty".