100313122311 has 12 divisors (see below), whose sum is σ = 144901476720. Its totient is φ = 66873225120.

The previous prime is 100313122289. The next prime is 100313122381. The reversal of 100313122311 is 113221313001.

100313122311 is a `hidden beast` number, since 10 + 0 + 31 + 312 + 2 + 311 = 666.

It is not a de Polignac number, because 100313122311 - 2⁷ = 100313122183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313122381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137110 + ... + 468428.

It is an arithmetic number, because the mean of its divisors is an integer number (12075123060).

Almost surely, 2^100313122311 is an apocalyptic number.

100313122311 is a deficient number, since it is larger than the sum of its proper divisors (44588354409).

100313122311 is a wasteful number, since it uses less digits than its factorization.

100313122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364966 (or 364963 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100313122311 its reverse (113221313001), we get a palindrome (213534435312).

The spelling of 100313122311 in words is "one hundred billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred eleven".