100330311110013 has 20 divisors (see below), whose sum is σ = 149877397884060. Its totient is φ = 66886314380352.

The previous prime is 100330311109999. The next prime is 100330311110047. The reversal of 100330311110013 is 310011113033001.

100330311110013 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 311 + 1 + 10 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40411982989764 + 59918328120249 = 6357042^2 + 7740693^2 .

It is not a de Polignac number, because 100330311110013 - 2¹² = 100330311105917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330311110083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4672393 + ... + 14916161.

It is an arithmetic number, because the mean of its divisors is an integer number (7493869894203).

Almost surely, 2^{100330311110013} is an apocalyptic number.

It is an amenable number.

100330311110013 is a deficient number, since it is larger than the sum of its proper divisors (49547086774047).

100330311110013 is a wasteful number, since it uses less digits than its factorization.

100330311110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364698 (or 10364689 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100330311110013 its reverse (310011113033001), we get a palindrome (410341424143014).

The spelling of 100330311110013 in words is "one hundred trillion, three hundred thirty billion, three hundred eleven million, one hundred ten thousand, thirteen".