213213313110000 has 1600 divisors, whose sum is σ = 843575959683072. Its totient is φ = 45360000000000.

The previous prime is 213213313109971. The next prime is 213213313110011. The reversal of 213213313110000 is 11313312312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18950604375 + ... + 18950615625.

Almost surely, 2^{213213313110000} is an apocalyptic number.

213213313110000 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 213213313110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421787979841536).

213213313110000 is an abundant number, since it is smaller than the sum of its proper divisors (630362646573072).

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

213213313110000 is a wasteful number, since it uses less digits than its factorization.

213213313110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213213313110000 its reverse (11313312312), we get a palindrome (213224626422312).

The spelling of 213213313110000 in words is "two hundred thirteen trillion, two hundred thirteen billion, three hundred thirteen million, one hundred ten thousand".