100333101013 has 8 divisors (see below), whose sum is σ = 105691417920. Its totient is φ = 94982546880.

The previous prime is 100333101007. The next prime is 100333101017. The reversal of 100333101013 is 310101333001.

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 100333101013 - 2¹⁷ = 100332969941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333101017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1914145 + ... + 1965862.

It is an arithmetic number, because the mean of its divisors is an integer number (13211427240).

Almost surely, 2^100333101013 is an apocalyptic number.

It is an amenable number.

100333101013 is a deficient number, since it is larger than the sum of its proper divisors (5358316907).

100333101013 is a wasteful number, since it uses less digits than its factorization.

100333101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881387.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100333101013 its reverse (310101333001), we get a palindrome (410434434014).

The spelling of 100333101013 in words is "one hundred billion, three hundred thirty-three million, one hundred one thousand, thirteen".