211323100323000 has 128 divisors (see below), whose sum is σ = 659388229344000. Its totient is φ = 56347685187200.

The previous prime is 211323100322987. The next prime is 211323100323001. The reversal of 211323100323000 is 323001323112.

211323100323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×211323100323000³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323100323001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29729011 + ... + 36144989.

It is an arithmetic number, because the mean of its divisors is an integer number (5151470541750).

Almost surely, 2^{211323100323000} is an apocalyptic number.

211323100323000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211323100323000 is an abundant number, since it is smaller than the sum of its proper divisors (448065129021000).

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

211323100323000 is a wasteful number, since it uses less digits than its factorization.

211323100323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426982 (or 6426968 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 211323100323000 its reverse (323001323112), we get a palindrome (211646101646112).

The spelling of 211323100323000 in words is "two hundred eleven trillion, three hundred twenty-three billion, one hundred million, three hundred twenty-three thousand".