100313301333321 has 24 divisors (see below), whose sum is σ = 146166268013064. Its totient is φ = 66291737541120.

The previous prime is 100313301333317. The next prime is 100313301333463. The reversal of 100313301333321 is 123333103313001.

100313301333321 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 3 + 3 + 0 + 1 + 333 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15273550443321 + 85039750890000 = 3908139^2 + 9221700^2 .

It is not a de Polignac number, because 100313301333321 - 2² = 100313301333317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100313301337321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83720016 + ... + 84909761.

It is an arithmetic number, because the mean of its divisors is an integer number (6090261167211).

Almost surely, 2^{100313301333321} is an apocalyptic number.

It is an amenable number.

100313301333321 is a deficient number, since it is larger than the sum of its proper divisors (45852966679743).

100313301333321 is a wasteful number, since it uses less digits than its factorization.

100313301333321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168630361 (or 168630358 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 100313301333321 its reverse (123333103313001), we get a palindrome (223646404646322).

The spelling of 100313301333321 in words is "one hundred trillion, three hundred thirteen billion, three hundred one million, three hundred thirty-three thousand, three hundred twenty-one".