21321311012001 has 96 divisors (see below), whose sum is σ = 42468000976128. Its totient is φ = 9947680657920.

The previous prime is 21321311011999. The next prime is 21321311012033. The reversal of 21321311012001 is 10021011312312.

21321311012001 is a `hidden beast` number, since 21 + 321 + 311 + 0 + 12 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 21321311012001 - 2¹ = 21321311011999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21321311012041) 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 95 ways as a sum of consecutive naturals, for example, 31648666 + ... + 32315331.

It is an arithmetic number, because the mean of its divisors is an integer number (442375010168).

Almost surely, 2^{21321311012001} is an apocalyptic number.

21321311012001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21321311012001 is a deficient number, since it is larger than the sum of its proper divisors (21146689964127).

21321311012001 is a wasteful number, since it uses less digits than its factorization.

21321311012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63964071 (or 63964068 counting only the distinct ones).

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

Adding to 21321311012001 its reverse (10021011312312), we get a palindrome (31342322324313).

The spelling of 21321311012001 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred eleven million, twelve thousand, one".