213203100000 has 864 divisors, whose sum is σ = 811608553728. Its totient is φ = 48505600000.

The previous prime is 213203099981. The next prime is 213203100001. The reversal of 213203100000 is 1302312.

It is a happy number.

213203100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213203100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4022699974 + ... + 4022700026.

It is an arithmetic number, because the mean of its divisors is an integer number (939361752).

Almost surely, 2^213203100000 is an apocalyptic number.

213203100000 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 213203100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405804276864).

213203100000 is an abundant number, since it is smaller than the sum of its proper divisors (598405453728).

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

213203100000 is an equidigital number, since it uses as much as digits as its factorization.

213203100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 213203100000 its reverse (1302312), we get a palindrome (213204402312).

The spelling of 213203100000 in words is "two hundred thirteen billion, two hundred three million, one hundred thousand".