213313212450400 has 144 divisors (see below), whose sum is σ = 548289468009360. Its totient is φ = 80815214592000.

The previous prime is 213313212450397. The next prime is 213313212450463. The reversal of 213313212450400 is 4054212313312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62184912 + ... + 65525488.

It is an arithmetic number, because the mean of its divisors is an integer number (3807565750065).

Almost surely, 2^{213313212450400} is an apocalyptic number.

213313212450400 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 213313212450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274144734004680).

213313212450400 is an abundant number, since it is smaller than the sum of its proper divisors (334976255558960).

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

213313212450400 is a wasteful number, since it uses less digits than its factorization.

213313212450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344817 (or 3344804 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 213313212450400 its reverse (4054212313312), we get a palindrome (217367424763712).

The spelling of 213313212450400 in words is "two hundred thirteen trillion, three hundred thirteen billion, two hundred twelve million, four hundred fifty thousand, four hundred".