321140313103401 has 48 divisors (see below), whose sum is σ = 506174667440832. Its totient is φ = 194578428096000.

The previous prime is 321140313103369. The next prime is 321140313103439. The reversal of 321140313103401 is 104301313041123.

321140313103401 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 4 + 0 + 3 + 1 + 310 + 340 + 1 = 666.

It is not a de Polignac number, because 321140313103401 - 2⁵ = 321140313103369 is a prime.

It is a super-2 number, since 2×321140313103401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321140313103201) 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 47 ways as a sum of consecutive naturals, for example, 8902493901 + ... + 8902529973.

It is an arithmetic number, because the mean of its divisors is an integer number (10545305571684).

Almost surely, 2^{321140313103401} is an apocalyptic number.

It is an amenable number.

321140313103401 is a deficient number, since it is larger than the sum of its proper divisors (185034354337431).

321140313103401 is a wasteful number, since it uses less digits than its factorization.

321140313103401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57654 (or 57651 counting only the distinct ones).

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

Adding to 321140313103401 its reverse (104301313041123), we get a palindrome (425441626144524).

The spelling of 321140313103401 in words is "three hundred twenty-one trillion, one hundred forty billion, three hundred thirteen million, one hundred three thousand, four hundred one".