13221332201340 has 288 divisors, whose sum is σ = 43004515921920. Its totient is φ = 3368740752000.

The previous prime is 13221332201323. The next prime is 13221332201369. The reversal of 13221332201340 is 4310223312231.

13221332201340 is a `hidden beast` number, since 1 + 322 + 1 + 3 + 322 + 0 + 13 + 4 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104411065 + ... + 104537615.

It is an arithmetic number, because the mean of its divisors is an integer number (149321235840).

Almost surely, 2^{13221332201340} is an apocalyptic number.

13221332201340 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 13221332201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502257960960).

13221332201340 is an abundant number, since it is smaller than the sum of its proper divisors (29783183720580).

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

13221332201340 is a wasteful number, since it uses less digits than its factorization.

13221332201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126758 (or 126671 counting only the distinct ones).

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

Adding to 13221332201340 its reverse (4310223312231), we get a palindrome (17531555513571).

The spelling of 13221332201340 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred one thousand, three hundred forty".