213003323323200 has 126 divisors (see below), whose sum is σ = 757064103593174. Its totient is φ = 56800886215680.

The previous prime is 213003323323163. The next prime is 213003323323207. The reversal of 213003323323200 is 2323323300312.

213003323323200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 0 + 3 + 3 + 2 + 332 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16712463495744 + 196290859827456 = 4088088^2 + 14010384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003323323207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7395934327 + ... + 7395963126.

Almost surely, 2^{213003323323200} is an apocalyptic number.

213003323323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213003323323200 is an abundant number, since it is smaller than the sum of its proper divisors (544060780269974).

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

213003323323200 is a wasteful number, since it uses less digits than its factorization.

213003323323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14791897481 (or 14791897463 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 213003323323200 its reverse (2323323300312), we get a palindrome (215326646623512).

The spelling of 213003323323200 in words is "two hundred thirteen trillion, three billion, three hundred twenty-three million, three hundred twenty-three thousand, two hundred".