14213202401320 has 256 divisors, whose sum is σ = 36413569382400. Its totient is φ = 4949660390400.

The previous prime is 14213202401287. The next prime is 14213202401353. The reversal of 14213202401320 is 2310420231241.

It is an interprime number because it is at equal distance from previous prime (14213202401287) and next prime (14213202401353).

It is a super-2 number, since 2×14213202401320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4985337895 + ... + 4985340745.

It is an arithmetic number, because the mean of its divisors is an integer number (142240505400).

Almost surely, 2^{14213202401320} is an apocalyptic number.

14213202401320 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 14213202401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206784691200).

14213202401320 is an abundant number, since it is smaller than the sum of its proper divisors (22200366981080).

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

14213202401320 is a wasteful number, since it uses less digits than its factorization.

14213202401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14213202401320 its reverse (2310420231241), we get a palindrome (16523622632561).

The spelling of 14213202401320 in words is "fourteen trillion, two hundred thirteen billion, two hundred two million, four hundred one thousand, three hundred twenty".