213324212000 has 48 divisors (see below), whose sum is σ = 524137598712. Its totient is φ = 85329683200.

The previous prime is 213324211973. The next prime is 213324212027. The reversal of 213324212000 is 212423312.

It is an interprime number because it is at equal distance from previous prime (213324211973) and next prime (213324212027).

It can be written as a sum of positive squares in 4 ways, for example, as 24095731984 + 189228480016 = 155228^2 + 435004^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26661527 + ... + 26669526.

Almost surely, 2^213324212000 is an apocalyptic number.

213324212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213324212000 is an abundant number, since it is smaller than the sum of its proper divisors (310813386712).

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

213324212000 is an equidigital number, since it uses as much as digits as its factorization.

213324212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53331078 (or 53331060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213324212000 its reverse (212423312), we get a palindrome (213536635312).

The spelling of 213324212000 in words is "two hundred thirteen billion, three hundred twenty-four million, two hundred twelve thousand".