13222313231220 has 576 divisors, whose sum is σ = 43871130938880. Its totient is φ = 3303676212480.

The previous prime is 13222313231189. The next prime is 13222313231273. The reversal of 13222313231220 is 2213231322231.

13222313231220 is a `hidden beast` number, since 1 + 3 + 222 + 313 + 2 + 3 + 122 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186229763785 + ... + 186229763855.

It is an arithmetic number, because the mean of its divisors is an integer number (76165157880).

Almost surely, 2^{13222313231220} is an apocalyptic number.

13222313231220 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 13222313231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935565469440).

13222313231220 is an abundant number, since it is smaller than the sum of its proper divisors (30648817707660).

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

13222313231220 is an frugal number, since it uses more digits than its factorization.

13222313231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13222313231220 its reverse (2213231322231), we get a palindrome (15435544553451).

The spelling of 13222313231220 in words is "thirteen trillion, two hundred twenty-two billion, three hundred thirteen million, two hundred thirty-one thousand, two hundred twenty".