213003023433200 has 240 divisors, whose sum is σ = 687091152685056. Its totient is φ = 61283587046400.

The previous prime is 213003023433191. The next prime is 213003023433203. The reversal of 213003023433200 is 2334320300312.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 213003023433200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003023433203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265587392 + ... + 266388191.

Almost surely, 2^{213003023433200} is an apocalyptic number.

213003023433200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213003023433200 is an abundant number, since it is smaller than the sum of its proper divisors (474088129251856).

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

213003023433200 is a wasteful number, since it uses less digits than its factorization.

213003023433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531975632 (or 531975621 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 213003023433200 its reverse (2334320300312), we get a palindrome (215337343733512).

The spelling of 213003023433200 in words is "two hundred thirteen trillion, three billion, twenty-three million, four hundred thirty-three thousand, two hundred".