213004020303200 has 288 divisors, whose sum is σ = 610816405747968. Its totient is φ = 71001038592000.

The previous prime is 213004020303199. The next prime is 213004020303223. The reversal of 213004020303200 is 2303020400312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267097055 + ... + 267893345.

It is an arithmetic number, because the mean of its divisors is an integer number (2120890297736).

Almost surely, 2^{213004020303200} is an apocalyptic number.

213004020303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213004020303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305408202873984).

213004020303200 is an abundant number, since it is smaller than the sum of its proper divisors (397812385444768).

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

213004020303200 is a wasteful number, since it uses less digits than its factorization.

213004020303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797646 (or 797633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213004020303200 its reverse (2303020400312), we get a palindrome (215307040703512).

The spelling of 213004020303200 in words is "two hundred thirteen trillion, four billion, twenty million, three hundred three thousand, two hundred".