211323212313000 has 256 divisors, whose sum is σ = 673693596576000. Its totient is φ = 55131157785600.

The previous prime is 211323212312987. The next prime is 211323212313041. The reversal of 211323212313000 is 313212323112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53586879 + ... + 57395121.

It is an arithmetic number, because the mean of its divisors is an integer number (2631615611625).

Almost surely, 2^{211323212313000} is an apocalyptic number.

211323212313000 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 211323212313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336846798288000).

211323212313000 is an abundant number, since it is smaller than the sum of its proper divisors (462370384263000).

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

211323212313000 is a wasteful number, since it uses less digits than its factorization.

211323212313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808669 (or 3808655 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211323212313000 its reverse (313212323112), we get a palindrome (211636424636112).

The spelling of 211323212313000 in words is "two hundred eleven trillion, three hundred twenty-three billion, two hundred twelve million, three hundred thirteen thousand".