211131132420 has 192 divisors, whose sum is σ = 648998461440. Its totient is φ = 50970816000.

The previous prime is 211131132403. The next prime is 211131132479. The reversal of 211131132420 is 24231131112.

211131132420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9293275 + ... + 9315965.

It is an arithmetic number, because the mean of its divisors is an integer number (3380200320).

Almost surely, 2^211131132420 is an apocalyptic number.

211131132420 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 211131132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324499230720).

211131132420 is an abundant number, since it is smaller than the sum of its proper divisors (437867329020).

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

211131132420 is a wasteful number, since it uses less digits than its factorization.

211131132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22946 (or 22944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211131132420 its reverse (24231131112), we get a palindrome (235362263532).

The spelling of 211131132420 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred twenty".