101321312130011 has 8 divisors (see below), whose sum is σ = 101767028364144. Its totient is φ = 100875688723840.

The previous prime is 101321312129993. The next prime is 101321312130041. The reversal of 101321312130011 is 110031213123101.

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 101321312130011 - 2⁴⁶ = 30952567952347 is a prime.

It is a super-4 number, since 4×101321312130011⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101321312130041) 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, 21018746 + ... + 25385631.

It is an arithmetic number, because the mean of its divisors is an integer number (12720878545518).

Almost surely, 2^{101321312130011} is an apocalyptic number.

101321312130011 is a deficient number, since it is larger than the sum of its proper divisors (445716234133).

101321312130011 is an equidigital number, since it uses as much as digits as its factorization.

101321312130011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46413981.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101321312130011 its reverse (110031213123101), we get a palindrome (211352525253112).

The spelling of 101321312130011 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred twelve million, one hundred thirty thousand, eleven".