101331320110133 has 8 divisors (see below), whose sum is σ = 101524222096416. Its totient is φ = 101138585504400.

The previous prime is 101331320110121. The next prime is 101331320110187. The reversal of 101331320110133 is 331011023133101.

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 101331320110133 - 2²⁶ = 101331253001269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331320110099 and 101331320110108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331320110333) 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, 40633163 + ... + 43054808.

It is an arithmetic number, because the mean of its divisors is an integer number (12690527762052).

Almost surely, 2^{101331320110133} is an apocalyptic number.

It is an amenable number.

101331320110133 is a deficient number, since it is larger than the sum of its proper divisors (192901986283).

101331320110133 is an equidigital number, since it uses as much as digits as its factorization.

101331320110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83690275.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101331320110133 its reverse (331011023133101), we get a palindrome (432342343243234).

The spelling of 101331320110133 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty million, one hundred ten thousand, one hundred thirty-three".