211303311000030 has 192 divisors, whose sum is σ = 562522300853760. Its totient is φ = 55017238929408.

The previous prime is 211303311000011. The next prime is 211303311000031. The reversal of 211303311000030 is 30000113303112.

It is a happy number.

211303311000030 is a `hidden beast` number, since 21 + 1 + 303 + 311 + 0 + 0 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211303310999967 and 211303311000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211303311000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615286227 + ... + 615629553.

It is an arithmetic number, because the mean of its divisors is an integer number (2929803650280).

Almost surely, 2^{211303311000030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211303311000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281261150426880).

211303311000030 is an abundant number, since it is smaller than the sum of its proper divisors (351218989853730).

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

211303311000030 is a wasteful number, since it uses less digits than its factorization.

211303311000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344355 (or 344352 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211303311000030 its reverse (30000113303112), we get a palindrome (241303424303142).

The spelling of 211303311000030 in words is "two hundred eleven trillion, three hundred three billion, three hundred eleven million, thirty", and thus it is an aban number.