100333413020313 has 48 divisors (see below), whose sum is σ = 165029682714624. Its totient is φ = 58145052826080.

The previous prime is 100333413020297. The next prime is 100333413020339. The reversal of 100333413020313 is 313020314333001.

100333413020313 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 3 + 41 + 302 + 0 + 313 = 666.

It is not a de Polignac number, because 100333413020313 - 2⁴ = 100333413020297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100333413020713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404731 + ... + 14171472.

It is an arithmetic number, because the mean of its divisors is an integer number (3438118389888).

Almost surely, 2^{100333413020313} is an apocalyptic number.

It is an amenable number.

100333413020313 is a deficient number, since it is larger than the sum of its proper divisors (64696269694311).

100333413020313 is a wasteful number, since it uses less digits than its factorization.

100333413020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579266 (or 14579263 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100333413020313 its reverse (313020314333001), we get a palindrome (413353727353314).

The spelling of 100333413020313 in words is "one hundred trillion, three hundred thirty-three billion, four hundred thirteen million, twenty thousand, three hundred thirteen".