13220334142420 has 96 divisors (see below), whose sum is σ = 29885674756896. Its totient is φ = 4894169088000.

The previous prime is 13220334142373. The next prime is 13220334142427. The reversal of 13220334142420 is 2424143302231.

It can be written as a sum of positive squares in 16 ways, for example, as 9601954084804 + 3618380057616 = 3098702^2 + 1902204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220334142427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79413270 + ... + 79579570.

It is an arithmetic number, because the mean of its divisors is an integer number (311309112051).

Almost surely, 2^{13220334142420} is an apocalyptic number.

13220334142420 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 13220334142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942837378448).

13220334142420 is an abundant number, since it is smaller than the sum of its proper divisors (16665340614476).

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

13220334142420 is a wasteful number, since it uses less digits than its factorization.

13220334142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170221 (or 170219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 13220334142420 its reverse (2424143302231), we get a palindrome (15644477444651).

The spelling of 13220334142420 in words is "thirteen trillion, two hundred twenty billion, three hundred thirty-four million, one hundred forty-two thousand, four hundred twenty".