2102133321 has 12 divisors (see below), whose sum is σ = 3036834372. Its totient is φ = 1401228576.

The previous prime is 2102133311. The next prime is 2102133347. The reversal of 2102133321 is 1233312012.

2102133321 is a `hidden beast` number, since 210 + 2 + 133 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1871427600 + 230705721 = 43260^2 + 15189^2 .

It is not a de Polignac number, because 2102133321 - 2⁷ = 2102133193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102133294 and 2102133303.

It is not an unprimeable number, because it can be changed into a prime (2102133311) by changing a digit.

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, 87955 + ... + 109271.

It is an arithmetic number, because the mean of its divisors is an integer number (253069531).

Almost surely, 2^2102133321 is an apocalyptic number.

It is an amenable number.

2102133321 is a deficient number, since it is larger than the sum of its proper divisors (934701051).

2102133321 is a wasteful number, since it uses less digits than its factorization.

2102133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32280 (or 32277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2102133321 is about 45849.0274815072. The cubic root of 2102133321 is about 1281.0126509984.

Adding to 2102133321 its reverse (1233312012), we get a palindrome (3335445333).

The spelling of 2102133321 in words is "two billion, one hundred two million, one hundred thirty-three thousand, three hundred twenty-one".