321013112101001 has 8 divisors (see below), whose sum is σ = 327071070526464. Its totient is φ = 314955194685040.

The previous prime is 321013112100949. The next prime is 321013112101027. The reversal of 321013112101001 is 100101211310123.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321013112101001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (321013112131001) 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 7 ways as a sum of consecutive naturals, for example, 5785400 + ... + 25990326.

It is an arithmetic number, because the mean of its divisors is an integer number (40883883815808).

Almost surely, 2^{321013112101001} is an apocalyptic number.

It is an amenable number.

321013112101001 is a deficient number, since it is larger than the sum of its proper divisors (6057958425463).

321013112101001 is a wasteful number, since it uses less digits than its factorization.

321013112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504751.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 321013112101001 its reverse (100101211310123), we get a palindrome (421114323411124).

The spelling of 321013112101001 in words is "three hundred twenty-one trillion, thirteen billion, one hundred twelve million, one hundred one thousand, one".