200213201401000 has 128 divisors (see below), whose sum is σ = 468873131126400. Its totient is φ = 80021333683200.

The previous prime is 200213201400983. The next prime is 200213201401001. The reversal of 200213201401000 is 104102312002.

It is not an unprimeable number, because it can be changed into a prime (200213201401001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7578939792 + ... + 7578966208.

It is an arithmetic number, because the mean of its divisors is an integer number (3663071336925).

Almost surely, 2^{200213201401000} is an apocalyptic number.

200213201401000 is a gapful number since it is divisible by the number (20) 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 200213201401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234436565563200).

200213201401000 is an abundant number, since it is smaller than the sum of its proper divisors (268659929725400).

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

200213201401000 is a wasteful number, since it uses less digits than its factorization.

200213201401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32204 (or 32190 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 200213201401000 its reverse (104102312002), we get a palindrome (200317303713002).

The spelling of 200213201401000 in words is "two hundred trillion, two hundred thirteen billion, two hundred one million, four hundred one thousand".