13320222340140 has 288 divisors, whose sum is σ = 41239444821120. Its totient is φ = 3479379038208.

The previous prime is 13320222340133. The next prime is 13320222340177. The reversal of 13320222340140 is 4104322202331.

13320222340140 is a `hidden beast` number, since 1 + 3 + 32 + 0 + 2 + 223 + 401 + 4 + 0 = 666.

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, 3662418402 + ... + 3662422038.

It is an arithmetic number, because the mean of its divisors is an integer number (143192516740).

Almost surely, 2^{13320222340140} is an apocalyptic number.

13320222340140 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 13320222340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20619722410560).

13320222340140 is an abundant number, since it is smaller than the sum of its proper divisors (27919222480980).

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

13320222340140 is a wasteful number, since it uses less digits than its factorization.

13320222340140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13320222340140 its reverse (4104322202331), we get a palindrome (17424544542471).

The spelling of 13320222340140 in words is "thirteen trillion, three hundred twenty billion, two hundred twenty-two million, three hundred forty thousand, one hundred forty".