21132012321 has 80 divisors (see below), whose sum is σ = 37020284928. Its totient is φ = 11761394400.

The previous prime is 21132012313. The next prime is 21132012373. The reversal of 21132012321 is 12321023112.

21132012321 is a `hidden beast` number, since 2 + 11 + 320 + 12 + 321 = 666.

It is not a de Polignac number, because 21132012321 - 2³ = 21132012313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21132012294 and 21132012303.

It is not an unprimeable number, because it can be changed into a prime (21132012721) 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 79 ways as a sum of consecutive naturals, for example, 10507206 + ... + 10509216.

Almost surely, 2^21132012321 is an apocalyptic number.

21132012321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21132012321 is a deficient number, since it is larger than the sum of its proper divisors (15888272607).

21132012321 is a wasteful number, since it uses less digits than its factorization.

21132012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21132012321 its reverse (12321023112), we get a palindrome (33453035433).

The spelling of 21132012321 in words is "twenty-one billion, one hundred thirty-two million, twelve thousand, three hundred twenty-one".