321100101121013 has 8 divisors (see below), whose sum is σ = 321492237834936. Its totient is φ = 320707966910400.

The previous prime is 321100101120961. The next prime is 321100101121061. The reversal of 321100101121013 is 310121101001123.

It can be written as a sum of positive squares in 4 ways, for example, as 27712464933169 + 293387636187844 = 5264263^2 + 17128562^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 321100101121013 - 2⁴⁰ = 320000589493237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321100101120982 and 321100101121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321100101171013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508097495 + ... + 508729067.

It is an arithmetic number, because the mean of its divisors is an integer number (40186529729367).

Almost surely, 2^{321100101121013} is an apocalyptic number.

It is an amenable number.

321100101121013 is a deficient number, since it is larger than the sum of its proper divisors (392136713923).

321100101121013 is an equidigital number, since it uses as much as digits as its factorization.

321100101121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251655.

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

Adding to 321100101121013 its reverse (310121101001123), we get a palindrome (631221202122136).

The spelling of 321100101121013 in words is "three hundred twenty-one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, thirteen".