2102000113331 has 8 divisors (see below), whose sum is σ = 2102897107584. Its totient is φ = 2101103317440.

The previous prime is 2102000113319. The next prime is 2102000113333. The reversal of 2102000113331 is 1333110002012.

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 2102000113331 - 2³⁰ = 2100926371507 is a prime.

It is a super-3 number, since 3×2102000113331³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102000113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23464181 + ... + 23553593.

It is an arithmetic number, because the mean of its divisors is an integer number (262862138448).

Almost surely, 2^{2102000113331} is an apocalyptic number.

2102000113331 is a deficient number, since it is larger than the sum of its proper divisors (896994253).

2102000113331 is an equidigital number, since it uses as much as digits as its factorization.

2102000113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99181.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2102000113331 its reverse (1333110002012), we get a palindrome (3435110115343).

The spelling of 2102000113331 in words is "two trillion, one hundred two billion, one hundred thirteen thousand, three hundred thirty-one".