100311023313 has 24 divisors (see below), whose sum is σ = 146180631168. Its totient is φ = 66282289632.

The previous prime is 100311023303. The next prime is 100311023333. The reversal of 100311023313 is 313320113001.

It is a happy number.

It is not a de Polignac number, because 100311023313 - 2¹² = 100311019217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100311023303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445231 + ... + 631547.

It is an arithmetic number, because the mean of its divisors is an integer number (6090859632).

Almost surely, 2^100311023313 is an apocalyptic number.

It is an amenable number.

100311023313 is a deficient number, since it is larger than the sum of its proper divisors (45869607855).

100311023313 is a wasteful number, since it uses less digits than its factorization.

100311023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186853 (or 186850 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100311023313 its reverse (313320113001), we get a palindrome (413631136314).

The spelling of 100311023313 in words is "one hundred billion, three hundred eleven million, twenty-three thousand, three hundred thirteen".