213103322000 has 160 divisors (see below), whose sum is σ = 531245935584. Its totient is φ = 82627584000.

The previous prime is 213103321961. The next prime is 213103322051. The reversal of 213103322000 is 223301312.

213103322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 168470844304 + 44632477696 = 410452^2 + 211264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213103322000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12865724 + ... + 12882276.

Almost surely, 2^213103322000 is an apocalyptic number.

213103322000 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 213103322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265622967792).

213103322000 is an abundant number, since it is smaller than the sum of its proper divisors (318142613584).

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

213103322000 is a wasteful number, since it uses less digits than its factorization.

213103322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213103322000 its reverse (223301312), we get a palindrome (213326623312).

The spelling of 213103322000 in words is "two hundred thirteen billion, one hundred three million, three hundred twenty-two thousand".