100330011313 has 16 divisors (see below), whose sum is σ = 115763408640. Its totient is φ = 85174615296.

The previous prime is 100330011283. The next prime is 100330011317. The reversal of 100330011313 is 313110033001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100330011313 is a prime.

It is a super-2 number, since 2×100330011313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100330011317) 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 15 ways as a sum of consecutive naturals, for example, 301845 + ... + 540157.

It is an arithmetic number, because the mean of its divisors is an integer number (7235213040).

Almost surely, 2^100330011313 is an apocalyptic number.

It is an amenable number.

100330011313 is a deficient number, since it is larger than the sum of its proper divisors (15433397327).

100330011313 is a wasteful number, since it uses less digits than its factorization.

100330011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238896.

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

Adding to 100330011313 its reverse (313110033001), we get a palindrome (413440044314).

The spelling of 100330011313 in words is "one hundred billion, three hundred thirty million, eleven thousand, three hundred thirteen".