2100313332 has 36 divisors (see below), whose sum is σ = 5717520900. Its totient is φ = 646250112.

The previous prime is 2100313279. The next prime is 2100313337. The reversal of 2100313332 is 2333130012.

2100313332 is a `hidden beast` number, since 21 + 0 + 0 + 313 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1245101796 + 855211536 = 35286^2 + 29244^2 .

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

It is a super-2 number, since 2×2100313332² = 8822632185153884448, which contains 22 as substring.

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 (2100313337) 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 11 ways as a sum of consecutive naturals, for example, 2243457 + ... + 2244392.

It is an arithmetic number, because the mean of its divisors is an integer number (158820025).

Almost surely, 2^2100313332 is an apocalyptic number.

It is an amenable number.

2100313332 is an abundant number, since it is smaller than the sum of its proper divisors (3617207568).

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

2100313332 is a wasteful number, since it uses less digits than its factorization.

2100313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487872 (or 4487867 counting only the distinct ones).

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

The square root of 2100313332 is about 45829.1755544435. The cubic root of 2100313332 is about 1280.6428517298.

Adding to 2100313332 its reverse (2333130012), we get a palindrome (4433443344).

The spelling of 2100313332 in words is "two billion, one hundred million, three hundred thirteen thousand, three hundred thirty-two".