213141123200 has 48 divisors (see below), whose sum is σ = 526525188810. Its totient is φ = 85256448000.

The previous prime is 213141123197. The next prime is 213141123233. The reversal of 213141123200 is 2321141312.

It can be written as a sum of positive squares in 3 ways, for example, as 196504250944 + 16636872256 = 443288^2 + 128984^2 .

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33300101 + ... + 33306500.

Almost surely, 2^213141123200 is an apocalyptic number.

213141123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213141123200 is an abundant number, since it is smaller than the sum of its proper divisors (313384065610).

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

213141123200 is an equidigital number, since it uses as much as digits as its factorization.

213141123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66606625 (or 66606608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213141123200 its reverse (2321141312), we get a palindrome (215462264512).

The spelling of 213141123200 in words is "two hundred thirteen billion, one hundred forty-one million, one hundred twenty-three thousand, two hundred".