211131330 has 128 divisors (see below), whose sum is σ = 559312128. Its totient is φ = 50798592.

The previous prime is 211131307. The next prime is 211131331. The reversal of 211131330 is 33131112.

211131330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211131331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1973137 + ... + 1973243.

It is an arithmetic number, because the mean of its divisors is an integer number (4369626).

Almost surely, 2^211131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279656064).

211131330 is an abundant number, since it is smaller than the sum of its proper divisors (348180798).

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

211131330 is a wasteful number, since it uses less digits than its factorization.

211131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

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

The square root of 211131330 is about 14530.3589081619. The cubic root of 211131330 is about 595.4576710807.

Adding to 211131330 its reverse (33131112), we get a palindrome (244262442).

The spelling of 211131330 in words is "two hundred eleven million, one hundred thirty-one thousand, three hundred thirty".