211133000210000 has 400 divisors, whose sum is σ = 559862132119488. Its totient is φ = 76470912000000.

The previous prime is 211133000209823. The next prime is 211133000210003. The reversal of 211133000210000 is 12000331112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133000210003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33391266839 + ... + 33391273161.

Almost surely, 2^{211133000210000} is an apocalyptic number.

211133000210000 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 211133000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279931066059744).

211133000210000 is an abundant number, since it is smaller than the sum of its proper divisors (348729131909488).

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

211133000210000 is a wasteful number, since it uses less digits than its factorization.

211133000210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 211133000210000 its reverse (12000331112), we get a palindrome (211145000541112).

The spelling of 211133000210000 in words is "two hundred eleven trillion, one hundred thirty-three billion, two hundred ten thousand".