101023330013 has 8 divisors (see below), whose sum is σ = 103502347200. Its totient is φ = 98573650560.

The previous prime is 101023330003. The next prime is 101023330039. The reversal of 101023330013 is 310033320101.

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 101023330013 - 2²⁸ = 100754894557 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 = 101023329973 and 101023330000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023330003) 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, 7327463 + ... + 7341236.

It is an arithmetic number, because the mean of its divisors is an integer number (12937793400).

Almost surely, 2^101023330013 is an apocalyptic number.

It is an amenable number.

101023330013 is a deficient number, since it is larger than the sum of its proper divisors (2479017187).

101023330013 is an equidigital number, since it uses as much as digits as its factorization.

101023330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668867.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101023330013 its reverse (310033320101), we get a palindrome (411056650114).

The spelling of 101023330013 in words is "one hundred one billion, twenty-three million, three hundred thirty thousand, thirteen".