21130212033 has 288 divisors, whose sum is σ = 41793822720. Its totient is φ = 10186767360.

The previous prime is 21130212023. The next prime is 21130212071. The reversal of 21130212033 is 33021203112.

21130212033 is a `hidden beast` number, since 211 + 302 + 120 + 33 = 666.

It is not a de Polignac number, because 21130212033 - 2⁴ = 21130212017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21130211997 and 21130212015.

It is not an unprimeable number, because it can be changed into a prime (21130212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 315376266 + ... + 315376332.

It is an arithmetic number, because the mean of its divisors is an integer number (145117440).

Almost surely, 2^21130212033 is an apocalyptic number.

21130212033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21130212033 is a deficient number, since it is larger than the sum of its proper divisors (20663610687).

21130212033 is a wasteful number, since it uses less digits than its factorization.

21130212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

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

Adding to 21130212033 its reverse (33021203112), we get a palindrome (54151415145).

The spelling of 21130212033 in words is "twenty-one billion, one hundred thirty million, two hundred twelve thousand, thirty-three".