13420214134200 has 144 divisors (see below), whose sum is σ = 45140981886000. Its totient is φ = 3573051955200.

The previous prime is 13420214134189. The next prime is 13420214134231. The reversal of 13420214134200 is 243141202431.

13420214134200 is a `hidden beast` number, since 1 + 3 + 4 + 20 + 21 + 413 + 4 + 200 = 666.

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 35 ways as a sum of consecutive naturals, for example, 4772025 + ... + 7043624.

It is an arithmetic number, because the mean of its divisors is an integer number (313479040875).

Almost surely, 2^{13420214134200} is an apocalyptic number.

13420214134200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420214134200 is an abundant number, since it is smaller than the sum of its proper divisors (31720767751800).

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

13420214134200 is a wasteful number, since it uses less digits than its factorization.

13420214134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816302 (or 11816290 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13420214134200 its reverse (243141202431), we get a palindrome (13663355336631).

The spelling of 13420214134200 in words is "thirteen trillion, four hundred twenty billion, two hundred fourteen million, one hundred thirty-four thousand, two hundred".