211131330000000 has 2048 divisors, whose sum is σ = 773785956602880. Its totient is φ = 50798592000000.

The previous prime is 211131329999981. The next prime is 211131330000029. The reversal of 211131330000000 is 33131112.

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 255 ways as a sum of consecutive naturals, for example, 1973189999947 + ... + 1973190000053.

Almost surely, 2^{211131330000000} is an apocalyptic number.

211131330000000 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 211131330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386892978301440).

211131330000000 is an abundant number, since it is smaller than the sum of its proper divisors (562654626602880).

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

211131330000000 is an frugal number, since it uses more digits than its factorization.

211131330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 260 counting only the distinct ones).

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

Adding to 211131330000000 its reverse (33131112), we get a palindrome (211131363131112).

The spelling of 211131330000000 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred thirty million", and thus it is an aban number.