331302132 has 108 divisors (see below), whose sum is σ = 979035876. Its totient is φ = 94187520.

The previous prime is 331302131. The next prime is 331302193. The reversal of 331302132 is 231203133.

331302132 is a `hidden beast` number, since 331 + 302 + 1 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306740196 + 24561936 = 17514^2 + 4956^2 .

It is a super-3 number, since 3×331302132³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331302131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 516532 + ... + 517172.

It is an arithmetic number, because the mean of its divisors is an integer number (9065147).

Almost surely, 2^331302132 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 331302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489517938).

331302132 is an abundant number, since it is smaller than the sum of its proper divisors (647733744).

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

331302132 is a wasteful number, since it uses less digits than its factorization.

331302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331302132 is about 18201.7068430408. The cubic root of 331302132 is about 691.9500476266.

Adding to 331302132 its reverse (231203133), we get a palindrome (562505265).

The spelling of 331302132 in words is "three hundred thirty-one million, three hundred two thousand, one hundred thirty-two".