214042200001300 has 72 divisors (see below), whose sum is σ = 506706740692992. Its totient is φ = 77831917728000.

The previous prime is 214042200001297. The next prime is 214042200001309. The reversal of 214042200001300 is 3100002240412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214042200001309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51860845 + ... + 55835755.

It is an arithmetic number, because the mean of its divisors is an integer number (7037593620736).

Almost surely, 2^{214042200001300} is an apocalyptic number.

214042200001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214042200001300 is an abundant number, since it is smaller than the sum of its proper divisors (292664540691692).

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

214042200001300 is a wasteful number, since it uses less digits than its factorization.

214042200001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023889 (or 4023882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 214042200001300 its reverse (3100002240412), we get a palindrome (217142202241712).

The spelling of 214042200001300 in words is "two hundred fourteen trillion, forty-two billion, two hundred million, one thousand, three hundred".