213200023102000 has 240 divisors, whose sum is σ = 568070943070176. Its totient is φ = 77331963456000.

The previous prime is 213200023101917. The next prime is 213200023102049. The reversal of 213200023102000 is 201320002312.

213200023102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94964439 + ... + 97183561.

Almost surely, 2^{213200023102000} is an apocalyptic number.

213200023102000 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 213200023102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284035471535088).

213200023102000 is an abundant number, since it is smaller than the sum of its proper divisors (354870919968176).

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

213200023102000 is a wasteful number, since it uses less digits than its factorization.

213200023102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219565 (or 2219538 counting only the distinct ones).

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

Adding to 213200023102000 its reverse (201320002312), we get a palindrome (213401343104312).

The spelling of 213200023102000 in words is "two hundred thirteen trillion, two hundred billion, twenty-three million, one hundred two thousand".