100002000331 has 8 divisors (see below), whose sum is σ = 103489506720. Its totient is φ = 96517104768.

The previous prime is 100002000313. The next prime is 100002000359. The reversal of 100002000331 is 133000200001.

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 100002000331 - 2⁹ = 100001999819 is a prime.

It is a super-3 number, since 3×100002000331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100002000391) 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, 574606 + ... + 728131.

It is an arithmetic number, because the mean of its divisors is an integer number (12936188340).

Almost surely, 2^100002000331 is an apocalyptic number.

100002000331 is a deficient number, since it is larger than the sum of its proper divisors (3487506389).

100002000331 is a wasteful number, since it uses less digits than its factorization.

100002000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305413.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100002000331 its reverse (133000200001), we get a palindrome (233002200332).

The spelling of 100002000331 in words is "one hundred billion, two million, three hundred thirty-one", and thus it is an aban number.