211131000330000 has 400 divisors, whose sum is σ = 734133773193216. Its totient is φ = 52116482880000.

The previous prime is 211131000329993. The next prime is 211131000330011. The reversal of 211131000330000 is 33000131112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16454727 + ... + 26325273.

Almost surely, 2^{211131000330000} is an apocalyptic number.

211131000330000 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 211131000330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367066886596608).

211131000330000 is an abundant number, since it is smaller than the sum of its proper divisors (523002772863216).

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

211131000330000 is a wasteful number, since it uses less digits than its factorization.

211131000330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870632 (or 9870611 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 211131000330000 its reverse (33000131112), we get a palindrome (211164000461112).

The spelling of 211131000330000 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred thirty thousand".