213322200000 has 672 divisors, whose sum is σ = 868497412608. Its totient is φ = 44997120000.

The previous prime is 213322199983. The next prime is 213322200029. The reversal of 213322200000 is 2223312.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×213322200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54598047 + ... + 54601953.

It is an arithmetic number, because the mean of its divisors is an integer number (1292406864).

Almost surely, 2^213322200000 is an apocalyptic number.

213322200000 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 213322200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434248706304).

213322200000 is an abundant number, since it is smaller than the sum of its proper divisors (655175212608).

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

213322200000 is an equidigital number, since it uses as much as digits as its factorization.

213322200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213322200000 its reverse (2223312), we get a palindrome (213324423312).

The spelling of 213322200000 in words is "two hundred thirteen billion, three hundred twenty-two million, two hundred thousand".