213123111132 has 96 divisors (see below), whose sum is σ = 530713257984. Its totient is φ = 66333312000.

The previous prime is 213123111127. The next prime is 213123111133. The reversal of 213123111132 is 231111321312.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213123111099 and 213123111108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123111133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26271757 + ... + 26279867.

It is an arithmetic number, because the mean of its divisors is an integer number (5528263104).

Almost surely, 2^213123111132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213123111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356628992).

213123111132 is an abundant number, since it is smaller than the sum of its proper divisors (317590146852).

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

213123111132 is a wasteful number, since it uses less digits than its factorization.

213123111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9137 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 213123111132 its reverse (231111321312), we get a palindrome (444234432444).

The spelling of 213123111132 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred eleven thousand, one hundred thirty-two".