213312170000 has 50 divisors (see below), whose sum is σ = 516450118998. Its totient is φ = 85324864000.

The previous prime is 213312169997. The next prime is 213312170003. The reversal of 213312170000 is 71213312.

It is an interprime number because it is at equal distance from previous prime (213312169997) and next prime (213312170003).

It can be written as a sum of positive squares in 5 ways, for example, as 109841867776 + 103470302224 = 331424^2 + 321668^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213312170003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10655609 + ... + 10675608.

Almost surely, 2^213312170000 is an apocalyptic number.

213312170000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312170000 is an abundant number, since it is smaller than the sum of its proper divisors (303137948998).

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

213312170000 is an equidigital number, since it uses as much as digits as its factorization.

213312170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21331245 (or 21331224 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 213312170000 its reverse (71213312), we get a palindrome (213383383312).

The spelling of 213312170000 in words is "two hundred thirteen billion, three hundred twelve million, one hundred seventy thousand".