213442411330000 has 100 divisors (see below), whose sum is σ = 516816515875968. Its totient is φ = 85368523120000.

The previous prime is 213442411329971. The next prime is 213442411330009. The reversal of 213442411330000 is 33114244312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213442411330009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100579905 + ... + 102680095.

Almost surely, 2^{213442411330000} is an apocalyptic number.

213442411330000 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 213442411330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258408257937984).

213442411330000 is an abundant number, since it is smaller than the sum of its proper divisors (303374104545968).

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

213442411330000 is a wasteful number, since it uses less digits than its factorization.

213442411330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110382 (or 2110361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213442411330000 its reverse (33114244312), we get a palindrome (213475525574312).

The spelling of 213442411330000 in words is "two hundred thirteen trillion, four hundred forty-two billion, four hundred eleven million, three hundred thirty thousand".