100001333013 has 8 divisors (see below), whose sum is σ = 133338480288. Its totient is φ = 66665870544.

The previous prime is 100001332961. The next prime is 100001333053. The reversal of 100001333013 is 310333100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-100001333013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001332983 and 100001333001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001333053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275506 + ... + 525267.

It is an arithmetic number, because the mean of its divisors is an integer number (16667310036).

Almost surely, 2^100001333013 is an apocalyptic number.

It is an amenable number.

100001333013 is a deficient number, since it is larger than the sum of its proper divisors (33337147275).

100001333013 is an equidigital number, since it uses as much as digits as its factorization.

100001333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842403.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100001333013 its reverse (310333100001), we get a palindrome (410334433014).

The spelling of 100001333013 in words is "one hundred billion, one million, three hundred thirty-three thousand, thirteen".