20321313011001 has 24 divisors (see below), whose sum is σ = 30146683783944. Its totient is φ = 13181238501120.

The previous prime is 20321313010967. The next prime is 20321313011017. The reversal of 20321313011001 is 10011031312302.

20321313011001 is a `hidden beast` number, since 2 + 0 + 321 + 31 + 301 + 10 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4345911549225 + 15975401461776 = 2084685^2 + 3996924^2 .

It is not a de Polignac number, because 20321313011001 - 2⁹ = 20321313010489 is a prime.

It is a super-3 number, since 3×20321313011001³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20321313011401) 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, 32901115 + ... + 33513071.

It is an arithmetic number, because the mean of its divisors is an integer number (1256111824331).

Almost surely, 2^{20321313011001} is an apocalyptic number.

It is an amenable number.

20321313011001 is a deficient number, since it is larger than the sum of its proper divisors (9825370772943).

20321313011001 is a wasteful number, since it uses less digits than its factorization.

20321313011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711721 (or 711718 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20321313011001 its reverse (10011031312302), we get a palindrome (30332344323303).

The spelling of 20321313011001 in words is "twenty trillion, three hundred twenty-one billion, three hundred thirteen million, eleven thousand, one".