213314412200 has 48 divisors (see below), whose sum is σ = 525129899580. Its totient is φ = 80306600960.

The previous prime is 213314412191. The next prime is 213314412221. The reversal of 213314412200 is 2214413312.

213314412200 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 6 ways, for example, as 50426295364 + 162888116836 = 224558^2 + 403594^2 .

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 11 ways as a sum of consecutive naturals, for example, 31366367 + ... + 31373166.

Almost surely, 2^213314412200 is an apocalyptic number.

213314412200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213314412200 is an abundant number, since it is smaller than the sum of its proper divisors (311815487380).

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

213314412200 is a wasteful number, since it uses less digits than its factorization.

213314412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62739566 (or 62739557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213314412200 its reverse (2214413312), we get a palindrome (215528825512).

The spelling of 213314412200 in words is "two hundred thirteen billion, three hundred fourteen million, four hundred twelve thousand, two hundred".