21312312132321 has 24 divisors (see below), whose sum is σ = 35190829886784. Its totient is φ = 12175487036640.

The previous prime is 21312312132313. The next prime is 21312312132337. The reversal of 21312312132321 is 12323121321312.

21312312132321 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 312 + 1 + 323 + 21 = 666.

It is not a de Polignac number, because 21312312132321 - 2³ = 21312312132313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21312312132521) 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 23 ways as a sum of consecutive naturals, for example, 41087986 + ... + 41603451.

It is an arithmetic number, because the mean of its divisors is an integer number (1466284578616).

Almost surely, 2^{21312312132321} is an apocalyptic number.

21312312132321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21312312132321 is a deficient number, since it is larger than the sum of its proper divisors (13878517754463).

21312312132321 is a wasteful number, since it uses less digits than its factorization.

21312312132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82695541 (or 82695538 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 21312312132321 its reverse (12323121321312), we get a palindrome (33635433453633).

The spelling of 21312312132321 in words is "twenty-one trillion, three hundred twelve billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".