213343330401300 has 288 divisors, whose sum is σ = 681602199667200. Its totient is φ = 51088974041600.

The previous prime is 213343330401281. The next prime is 213343330401343. The reversal of 213343330401300 is 3104033343312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994760226 + ... + 1994867174.

It is an arithmetic number, because the mean of its divisors is an integer number (2366674304400).

Almost surely, 2^{213343330401300} is an apocalyptic number.

213343330401300 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 213343330401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340801099833600).

213343330401300 is an abundant number, since it is smaller than the sum of its proper divisors (468258869265900).

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

213343330401300 is a wasteful number, since it uses less digits than its factorization.

213343330401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114343 (or 114336 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 213343330401300 its reverse (3104033343312), we get a palindrome (216447363744612).

The spelling of 213343330401300 in words is "two hundred thirteen trillion, three hundred forty-three billion, three hundred thirty million, four hundred one thousand, three hundred".