100002031330213 has 8 divisors (see below), whose sum is σ = 105926504799960. Its totient is φ = 94082224642560.

The previous prime is 100002031330189. The next prime is 100002031330237. The reversal of 100002031330213 is 312033130200001.

It is an interprime number because it is at equal distance from previous prime (100002031330189) and next prime (100002031330237).

It can be written as a sum of positive squares in 4 ways, for example, as 3044491053409 + 96957540276804 = 1744847^2 + 9846702^2 .

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 100002031330213 - 2¹³ = 100002031322021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002031390213) 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, 1166651398 + ... + 1166737111.

It is an arithmetic number, because the mean of its divisors is an integer number (13240813099995).

Almost surely, 2^{100002031330213} is an apocalyptic number.

It is an amenable number.

100002031330213 is a deficient number, since it is larger than the sum of its proper divisors (5924473469747).

100002031330213 is a wasteful number, since it uses less digits than its factorization.

100002031330213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333391047.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100002031330213 its reverse (312033130200001), we get a palindrome (412035161530214).

The spelling of 100002031330213 in words is "one hundred trillion, two billion, thirty-one million, three hundred thirty thousand, two hundred thirteen".