100333323331313 has 8 divisors (see below), whose sum is σ = 102784621471560. Its totient is φ = 97882222520320.

The previous prime is 100333323331223. The next prime is 100333323331331. The reversal of 100333323331313 is 313133323333001.

It can be written as a sum of positive squares in 4 ways, for example, as 406707889 + 100332916623424 = 20167^2 + 10016632^2 .

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 100333323331313 - 2²⁴ = 100333306554097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100333323331313.

It is not an unprimeable number, because it can be changed into a prime (100333323330313) 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, 48302720 + ... + 50337057.

It is an arithmetic number, because the mean of its divisors is an integer number (12848077683945).

Almost surely, 2^{100333323331313} is an apocalyptic number.

It is an amenable number.

100333323331313 is a deficient number, since it is larger than the sum of its proper divisors (2451298140247).

100333323331313 is an equidigital number, since it uses as much as digits as its factorization.

100333323331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98664627.

The product of its (nonzero) digits is 39366, while the sum is 32.

Adding to 100333323331313 its reverse (313133323333001), we get a palindrome (413466646664314).

The spelling of 100333323331313 in words is "one hundred trillion, three hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred thirteen".