213301230333200 has 30 divisors (see below), whose sum is σ = 512456205876474. Its totient is φ = 85320492133120.

The previous prime is 213301230333137. The next prime is 213301230333203. The reversal of 213301230333200 is 2333032103312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38736781836544 + 174564448496656 = 6223888^2 + 13212284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213301230333200.

It is not an unprimeable number, because it can be changed into a prime (213301230333203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 266626537517 + ... + 266626538316.

Almost surely, 2^{213301230333200} is an apocalyptic number.

213301230333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301230333200 is an abundant number, since it is smaller than the sum of its proper divisors (299154975543274).

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

213301230333200 is a wasteful number, since it uses less digits than its factorization.

213301230333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533253075851 (or 533253075840 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 213301230333200 its reverse (2333032103312), we get a palindrome (215634262436512).

The spelling of 213301230333200 in words is "two hundred thirteen trillion, three hundred one billion, two hundred thirty million, three hundred thirty-three thousand, two hundred".