213332300030400 has 336 divisors, whose sum is σ = 708566368061280. Its totient is φ = 56187592704000.

The previous prime is 213332300030357. The next prime is 213332300030441. The reversal of 213332300030400 is 4030003233312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 197745252 + ... + 198821148.

Almost surely, 2^{213332300030400} is an apocalyptic number.

213332300030400 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 213332300030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354283184030640).

213332300030400 is an abundant number, since it is smaller than the sum of its proper divisors (495234068030880).

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

213332300030400 is a wasteful number, since it uses less digits than its factorization.

213332300030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076432 (or 1076417 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 213332300030400 its reverse (4030003233312), we get a palindrome (217362303263712).

The spelling of 213332300030400 in words is "two hundred thirteen trillion, three hundred thirty-two billion, three hundred million, thirty thousand, four hundred".