213341410352000 has 256 divisors, whose sum is σ = 607509481138560. Its totient is φ = 72986941440000.

The previous prime is 213341410351987. The next prime is 213341410352011. The reversal of 213341410352000 is 253014143312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49566020 + ... + 53697980.

Almost surely, 2^{213341410352000} is an apocalyptic number.

213341410352000 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 213341410352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303754740569280).

213341410352000 is an abundant number, since it is smaller than the sum of its proper divisors (394168070786560).

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

213341410352000 is an equidigital number, since it uses as much as digits as its factorization.

213341410352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132458 (or 4132436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 213341410352000 its reverse (253014143312), we get a palindrome (213594424495312).

The spelling of 213341410352000 in words is "two hundred thirteen trillion, three hundred forty-one billion, four hundred ten million, three hundred fifty-two thousand".