211433133011100 has 2304 divisors, whose sum is σ = 903294145474560. Its totient is φ = 36717251788800.

The previous prime is 211433133011081. The next prime is 211433133011143. The reversal of 211433133011100 is 1110331334112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 16811088012 + ... + 16811100588.

It is an arithmetic number, because the mean of its divisors is an integer number (392054750640).

Almost surely, 2^{211433133011100} is an apocalyptic number.

211433133011100 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 211433133011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451647072737280).

211433133011100 is an abundant number, since it is smaller than the sum of its proper divisors (691861012463460).

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

211433133011100 is a wasteful number, since it uses less digits than its factorization.

211433133011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768 (or 12761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 211433133011100 its reverse (1110331334112), we get a palindrome (212543464345212).

The spelling of 211433133011100 in words is "two hundred eleven trillion, four hundred thirty-three billion, one hundred thirty-three million, eleven thousand, one hundred".