101320333103313 has 24 divisors (see below), whose sum is σ = 148028970595688. Its totient is φ = 66774302180352.

The previous prime is 101320333103279. The next prime is 101320333103413. The reversal of 101320333103313 is 313301333023101.

101320333103313 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 33 + 310 + 3 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40903788898449 + 60416544204864 = 6395607^2 + 7772808^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101320333103313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101320333103113) 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 23 ways as a sum of consecutive naturals, for example, 65403106 + ... + 66934347.

Almost surely, 2^{101320333103313} is an apocalyptic number.

It is an amenable number.

101320333103313 is a deficient number, since it is larger than the sum of its proper divisors (46708637492375).

101320333103313 is a wasteful number, since it uses less digits than its factorization.

101320333103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132338433 (or 132338430 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 101320333103313 its reverse (313301333023101), we get a palindrome (414621666126414).

The spelling of 101320333103313 in words is "one hundred one trillion, three hundred twenty billion, three hundred thirty-three million, one hundred three thousand, three hundred thirteen".