21311330313321 has 64 divisors (see below), whose sum is σ = 33339145420800. Its totient is φ = 13417260147648.

The previous prime is 21311330313269. The next prime is 21311330313401. The reversal of 21311330313321 is 12331303311312.

21311330313321 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 330 + 3 + 1 + 3 + 321 = 666.

It is not a de Polignac number, because 21311330313321 - 2¹⁰ = 21311330312297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21311330314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368762190 + ... + 368819976.

It is an arithmetic number, because the mean of its divisors is an integer number (520924147200).

Almost surely, 2^{21311330313321} is an apocalyptic number.

It is an amenable number.

21311330313321 is a deficient number, since it is larger than the sum of its proper divisors (12027815107479).

21311330313321 is a wasteful number, since it uses less digits than its factorization.

21311330313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60075 (or 60069 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 21311330313321 its reverse (12331303311312), we get a palindrome (33642633624633).

The spelling of 21311330313321 in words is "twenty-one trillion, three hundred eleven billion, three hundred thirty million, three hundred thirteen thousand, three hundred twenty-one".