101330013101321 has 8 divisors (see below), whose sum is σ = 101454157022400. Its totient is φ = 101205877203760.

The previous prime is 101330013101279. The next prime is 101330013101353. The reversal of 101330013101321 is 123101310033101.

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 101330013101321 - 2¹⁰ = 101330013100297 is a prime.

It is a super-2 number, since 2×101330013101321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101330013101293 and 101330013101302.

It is not an unprimeable number, because it can be changed into a prime (101330013101521) 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, 23465810 + ... + 27446388.

It is an arithmetic number, because the mean of its divisors is an integer number (12681769627800).

Almost surely, 2^{101330013101321} is an apocalyptic number.

It is an amenable number.

101330013101321 is a deficient number, since it is larger than the sum of its proper divisors (124143921079).

101330013101321 is an equidigital number, since it uses as much as digits as its factorization.

101330013101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011759.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101330013101321 its reverse (123101310033101), we get a palindrome (224431323134422).

The spelling of 101330013101321 in words is "one hundred one trillion, three hundred thirty billion, thirteen million, one hundred one thousand, three hundred twenty-one".