212011312131000 has 384 divisors, whose sum is σ = 737441214120000. Its totient is φ = 54898060262400.

The previous prime is 212011312130977. The next prime is 212011312131007. The reversal of 212011312131000 is 131213110212.

212011312131000 is a `hidden beast` number, since 2 + 1 + 201 + 131 + 21 + 310 + 0 + 0 = 666.

It is a super-3 number, since 3×212011312131000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011312131007) 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, 165529054 + ... + 166804946.

Almost surely, 2^{212011312131000} is an apocalyptic number.

212011312131000 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 212011312131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368720607060000).

212011312131000 is an abundant number, since it is smaller than the sum of its proper divisors (525429901989000).

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

212011312131000 is a wasteful number, since it uses less digits than its factorization.

212011312131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276456 (or 1276439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212011312131000 its reverse (131213110212), we get a palindrome (212142525241212).

The spelling of 212011312131000 in words is "two hundred twelve trillion, eleven billion, three hundred twelve million, one hundred thirty-one thousand".