13220123312214 has 192 divisors, whose sum is σ = 35713486448640. Its totient is φ = 3441182434560.

The previous prime is 13220123312203. The next prime is 13220123312309. The reversal of 13220123312214 is 41221332102231.

13220123312214 is a `hidden beast` number, since 1 + 3 + 2 + 201 + 233 + 1 + 221 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367095469 + ... + 367131479.

It is an arithmetic number, because the mean of its divisors is an integer number (186007741920).

Almost surely, 2^{13220123312214} is an apocalyptic number.

13220123312214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220123312214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856743224320).

13220123312214 is an abundant number, since it is smaller than the sum of its proper divisors (22493363136426).

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

13220123312214 is a wasteful number, since it uses less digits than its factorization.

13220123312214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955 (or 38952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13220123312214 its reverse (41221332102231), we get a palindrome (54441455414445).

The spelling of 13220123312214 in words is "thirteen trillion, two hundred twenty billion, one hundred twenty-three million, three hundred twelve thousand, two hundred fourteen".