200213134000000 has 336 divisors, whose sum is σ = 548016991542720. Its totient is φ = 72804688000000.

The previous prime is 200213133999943. The next prime is 200213134000003. The reversal of 200213134000000 is 431312002.

It is a happy number.

200213134000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200213134000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200213134000003) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 241586337 + ... + 242413663.

It is an arithmetic number, because the mean of its divisors is an integer number (1631002951020).

Almost surely, 2^{200213134000000} is an apocalyptic number.

200213134000000 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 200213134000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274008495771360).

200213134000000 is an abundant number, since it is smaller than the sum of its proper divisors (347803857542720).

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

200213134000000 is an frugal number, since it uses more digits than its factorization.

200213134000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827393 (or 827345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200213134000000 its reverse (431312002), we get a palindrome (200213565312002).

The spelling of 200213134000000 in words is "two hundred trillion, two hundred thirteen billion, one hundred thirty-four million", and thus it is an aban number.