2100331332 has 36 divisors (see below), whose sum is σ = 5791823856. Its totient is φ = 636463920.

The previous prime is 2100331297. The next prime is 2100331357. The reversal of 2100331332 is 2331330012.

2100331332 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 331 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2100331332³ (a number of 29 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2651538 + ... + 2652329.

It is an arithmetic number, because the mean of its divisors is an integer number (160883996).

Almost surely, 2^2100331332 is an apocalyptic number.

2100331332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2100331332 is an abundant number, since it is smaller than the sum of its proper divisors (3691492524).

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

2100331332 is a wasteful number, since it uses less digits than its factorization.

2100331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303888 (or 5303883 counting only the distinct ones).

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

The square root of 2100331332 is about 45829.3719354739. The cubic root of 2100331332 is about 1280.6465101531.

Adding to 2100331332 its reverse (2331330012), we get a palindrome (4431661344).

The spelling of 2100331332 in words is "two billion, one hundred million, three hundred thirty-one thousand, three hundred thirty-two".