213123213121000 has 384 divisors, whose sum is σ = 624823795814400. Its totient is φ = 67442608396800.

The previous prime is 213123213120997. The next prime is 213123213121009. The reversal of 213123213121000 is 121312321312.

It is not an unprimeable number, because it can be changed into a prime (213123213121009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11495929731 + ... + 11495948269.

It is an arithmetic number, because the mean of its divisors is an integer number (1627145301600).

Almost surely, 2^{213123213121000} is an apocalyptic number.

213123213121000 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 213123213121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312411897907200).

213123213121000 is an abundant number, since it is smaller than the sum of its proper divisors (411700582693400).

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

213123213121000 is a wasteful number, since it uses less digits than its factorization.

213123213121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36634 (or 36613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 213123213121000 its reverse (121312321312), we get a palindrome (213244525442312).

The spelling of 213123213121000 in words is "two hundred thirteen trillion, one hundred twenty-three billion, two hundred thirteen million, one hundred twenty-one thousand".