13201205214420 has 96 divisors (see below), whose sum is σ = 41093097575040. Its totient is φ = 3518377274880.

The previous prime is 13201205214409. The next prime is 13201205214433. The reversal of 13201205214420 is 2441250210231.

13201205214420 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 20 + 5 + 214 + 420 = 666.

It is a super-2 number, since 2×13201205214420² (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5771557 + ... + 7727436.

It is an arithmetic number, because the mean of its divisors is an integer number (428053099740).

Almost surely, 2^{13201205214420} is an apocalyptic number.

13201205214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201205214420 is an abundant number, since it is smaller than the sum of its proper divisors (27891892360620).

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

13201205214420 is a wasteful number, since it uses less digits than its factorization.

13201205214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500822 (or 13500814 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13201205214420 its reverse (2441250210231), we get a palindrome (15642455424651).

The spelling of 13201205214420 in words is "thirteen trillion, two hundred one billion, two hundred five million, two hundred fourteen thousand, four hundred twenty".