3213111132 has 384 divisors, whose sum is σ = 11008327680. Its totient is φ = 785790720.

The previous prime is 3213111107. The next prime is 3213111151. The reversal of 3213111132 is 2311113123.

3213111132 is a `hidden beast` number, since 321 + 311 + 1 + 1 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20465598 + ... + 20465754.

It is an arithmetic number, because the mean of its divisors is an integer number (28667520).

Almost surely, 2^3213111132 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 3213111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504163840).

3213111132 is an abundant number, since it is smaller than the sum of its proper divisors (7795216548).

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

3213111132 is a wasteful number, since it uses less digits than its factorization.

3213111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3213111132 is about 56684.3111627900. The cubic root of 3213111132 is about 1475.6224330040.

Adding to 3213111132 its reverse (2311113123), we get a palindrome (5524224255).

The spelling of 3213111132 in words is "three billion, two hundred thirteen million, one hundred eleven thousand, one hundred thirty-two".