211331141133112 has 432 divisors, whose sum is σ = 567541908322200. Its totient is φ = 73382326617600.

The previous prime is 211331141133061. The next prime is 211331141133131.

It is a happy number.

211331141133112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 232009687 + ... + 232918777.

Almost surely, 2^{211331141133112} is an apocalyptic number.

211331141133112 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 211331141133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283770954161100).

211331141133112 is an abundant number, since it is smaller than the sum of its proper divisors (356210767189088).

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

211331141133112 is a wasteful number, since it uses less digits than its factorization.

211331141133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909188 (or 909153 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The spelling of 211331141133112 in words is "two hundred eleven trillion, three hundred thirty-one billion, one hundred forty-one million, one hundred thirty-three thousand, one hundred twelve".