101321110011113 has 4 divisors (see below), whose sum is σ = 101337043514880. Its totient is φ = 101305176507348.

The previous prime is 101321110011091. The next prime is 101321110011161. The reversal of 101321110011113 is 311110011123101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101321110011113 - 2³⁰ = 101320036269289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101321110011091 and 101321110011100.

It is not an unprimeable number, because it can be changed into a prime (101321110011193) 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 3 ways as a sum of consecutive naturals, for example, 7966742345 + ... + 7966755062.

It is an arithmetic number, because the mean of its divisors is an integer number (25334260878720).

Almost surely, 2^{101321110011113} is an apocalyptic number.

It is an amenable number.

101321110011113 is a deficient number, since it is larger than the sum of its proper divisors (15933503767).

101321110011113 is an equidigital number, since it uses as much as digits as its factorization.

101321110011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933503766.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 101321110011113 its reverse (311110011123101), we get a palindrome (412431121134214).

The spelling of 101321110011113 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred ten million, eleven thousand, one hundred thirteen".