100333243112013 has 12 divisors (see below), whose sum is σ = 146208324772380. Its totient is φ = 66296892203136.

The previous prime is 100333243111987. The next prime is 100333243112017. The reversal of 100333243112013 is 310211342333001.

100333243112013 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 324 + 311 + 20 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13816401229764 + 86516841882249 = 3717042^2 + 9301443^2 .

It is not a de Polignac number, because 100333243112013 - 2⁶ = 100333243111949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333243112017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49328043778 + ... + 49328045811.

It is an arithmetic number, because the mean of its divisors is an integer number (12184027064365).

Almost surely, 2^{100333243112013} is an apocalyptic number.

It is an amenable number.

100333243112013 is a deficient number, since it is larger than the sum of its proper divisors (45875081660367).

100333243112013 is a wasteful number, since it uses less digits than its factorization.

100333243112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98656089708 (or 98656089705 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 100333243112013 its reverse (310211342333001), we get a palindrome (410544585445014).

The spelling of 100333243112013 in words is "one hundred trillion, three hundred thirty-three billion, two hundred forty-three million, one hundred twelve thousand, thirteen".