211431333140000 has 120 divisors (see below), whose sum is σ = 520178856217020. Its totient is φ = 84568295808000.

The previous prime is 211431333139987. The next prime is 211431333140057. The reversal of 211431333140000 is 41333134112.

It can be written as a sum of positive squares in 10 ways, for example, as 6931151413264 + 204500181726736 = 2632708^2 + 14300356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 415205546 + ... + 415714454.

Almost surely, 2^{211431333140000} is an apocalyptic number.

211431333140000 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 211431333140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260089428108510).

211431333140000 is an abundant number, since it is smaller than the sum of its proper divisors (308747523077020).

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

211431333140000 is an equidigital number, since it uses as much as digits as its factorization.

211431333140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529712 (or 529689 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 211431333140000 its reverse (41333134112), we get a palindrome (211472666274112).

The spelling of 211431333140000 in words is "two hundred eleven trillion, four hundred thirty-one billion, three hundred thirty-three million, one hundred forty thousand".