211311012132 has 144 divisors (see below), whose sum is σ = 601100764992. Its totient is φ = 62027562240.

The previous prime is 211311012113. The next prime is 211311012149. The reversal of 211311012132 is 231210113112.

211311012132 is a `hidden beast` number, since 211 + 311 + 0 + 12 + 132 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294238 + ... + 3357770.

It is an arithmetic number, because the mean of its divisors is an integer number (4174310868).

Almost surely, 2^211311012132 is an apocalyptic number.

211311012132 is a gapful number since it is divisible by the number (22) 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 211311012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300550382496).

211311012132 is an abundant number, since it is smaller than the sum of its proper divisors (389789752860).

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

211311012132 is a wasteful number, since it uses less digits than its factorization.

211311012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63818 (or 63813 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211311012132 its reverse (231210113112), we get a palindrome (442521125244).

The spelling of 211311012132 in words is "two hundred eleven billion, three hundred eleven million, twelve thousand, one hundred thirty-two".