21113133210 has 96 divisors (see below), whose sum is σ = 59146673040. Its totient is φ = 5194450944.

The previous prime is 21113133179. The next prime is 21113133211. The reversal of 21113133210 is 1233131112.

21113133210 is a `hidden beast` number, since 21 + 11 + 313 + 321 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1854077481 + 19259055729 = 43059^2 + 138777^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21113133211) 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 47 ways as a sum of consecutive naturals, for example, 3386376 + ... + 3392604.

Almost surely, 2^21113133210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29573336520).

21113133210 is an abundant number, since it is smaller than the sum of its proper divisors (38033539830).

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

21113133210 is a wasteful number, since it uses less digits than its factorization.

21113133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21113133210 its reverse (1233131112), we get a palindrome (22346264322).

The spelling of 21113133210 in words is "twenty-one billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred ten".