2100450213 has 24 divisors (see below), whose sum is σ = 3110791320. Its totient is φ = 1364912640.

The previous prime is 2100450211. The next prime is 2100450217. The reversal of 2100450213 is 3120540012.

2100450213 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 450 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8485569 + 2091964644 = 2913^2 + 45738^2 .

It is not a de Polignac number, because 2100450213 - 2¹ = 2100450211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100450211) 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 23 ways as a sum of consecutive naturals, for example, 593433 + ... + 596961.

It is an arithmetic number, because the mean of its divisors is an integer number (129616305).

Almost surely, 2^2100450213 is an apocalyptic number.

It is an amenable number.

2100450213 is a deficient number, since it is larger than the sum of its proper divisors (1010341107).

2100450213 is a wasteful number, since it uses less digits than its factorization.

2100450213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2100450213 is about 45830.6689128579. The cubic root of 2100450213 is about 1280.6706716846.

Adding to 2100450213 its reverse (3120540012), we get a palindrome (5220990225).

It can be divided in two parts, 21004 and 50213, that added together give a palindrome (71217).

The spelling of 2100450213 in words is "two billion, one hundred million, four hundred fifty thousand, two hundred thirteen".