100001333300313 has 64 divisors (see below), whose sum is σ = 137147297624064. Its totient is φ = 64794746016000.

The previous prime is 100001333300311. The next prime is 100001333300411. The reversal of 100001333300313 is 313003333100001.

It is not a de Polignac number, because 100001333300313 - 2¹ = 100001333300311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001333300313.

It is not an unprimeable number, because it can be changed into a prime (100001333300311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4916234523 + ... + 4916254863.

It is an arithmetic number, because the mean of its divisors is an integer number (2142926525376).

Almost surely, 2^{100001333300313} is an apocalyptic number.

It is an amenable number.

100001333300313 is a deficient number, since it is larger than the sum of its proper divisors (37145964323751).

100001333300313 is a wasteful number, since it uses less digits than its factorization.

100001333300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21526.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 100001333300313 its reverse (313003333100001), we get a palindrome (413004666400314).

The spelling of 100001333300313 in words is "one hundred trillion, one billion, three hundred thirty-three million, three hundred thousand, three hundred thirteen".