211312131033000 has 256 divisors, whose sum is σ = 694028012371200. Its totient is φ = 53381464473600.

The previous prime is 211312131032983. The next prime is 211312131033007. The reversal of 211312131033000 is 330131213112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211312131033007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310520384 + ... + 1310681616.

It is an arithmetic number, because the mean of its divisors is an integer number (2711046923325).

Almost surely, 2^{211312131033000} is an apocalyptic number.

211312131033000 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 211312131033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347014006185600).

211312131033000 is an abundant number, since it is smaller than the sum of its proper divisors (482715881338200).

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

211312131033000 is a wasteful number, since it uses less digits than its factorization.

211312131033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184269 (or 184255 counting only the distinct ones).

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

Adding to 211312131033000 its reverse (330131213112), we get a palindrome (211642262246112).

The spelling of 211312131033000 in words is "two hundred eleven trillion, three hundred twelve billion, one hundred thirty-one million, thirty-three thousand".