21312100011321 has 24 divisors (see below), whose sum is σ = 35182002360960. Its totient is φ = 12178300294656.

The previous prime is 21312100011283. The next prime is 21312100011341. The reversal of 21312100011321 is 12311000121312.

21312100011321 is a `hidden beast` number, since 2 + 131 + 210 + 0 + 0 + 1 + 1 + 321 = 666.

It is not a de Polignac number, because 21312100011321 - 2¹⁴ = 21312099994937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21312100011294 and 21312100011303.

It is not an unprimeable number, because it can be changed into a prime (21312100011341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30210265 + ... + 30907673.

It is an arithmetic number, because the mean of its divisors is an integer number (1465916765040).

Almost surely, 2^{21312100011321} is an apocalyptic number.

21312100011321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21312100011321 is a deficient number, since it is larger than the sum of its proper divisors (13869902349639).

21312100011321 is a wasteful number, since it uses less digits than its factorization.

21312100011321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182485 (or 1182482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21312100011321 its reverse (12311000121312), we get a palindrome (33623100132633).

The spelling of 21312100011321 in words is "twenty-one trillion, three hundred twelve billion, one hundred million, eleven thousand, three hundred twenty-one".