213453312400 has 120 divisors (see below), whose sum is σ = 566596128384. Its totient is φ = 76864972800.

The previous prime is 213453312367. The next prime is 213453312431. The reversal of 213453312400 is 4213354312.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 525996 + ... + 838795.

Almost surely, 2^213453312400 is an apocalyptic number.

213453312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213453312400 is an abundant number, since it is smaller than the sum of its proper divisors (353142815984).

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

213453312400 is a wasteful number, since it uses less digits than its factorization.

213453312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364849 (or 1364838 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 213453312400 its reverse (4213354312), we get a palindrome (217666666712).

The spelling of 213453312400 in words is "two hundred thirteen billion, four hundred fifty-three million, three hundred twelve thousand, four hundred".