100311110311 has 2 divisors, whose sum is σ = 100311110312. Its totient is φ = 100311110310.

The previous prime is 100311110281. The next prime is 100311110323. The reversal of 100311110311 is 113011113001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100311110311 - 2¹¹ = 100311108263 is a prime.

It is a super-2 number, since 2×100311110311² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100311110291 and 100311110300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100311110351) 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 as a sum of consecutive naturals, namely, 50155555155 + 50155555156.

It is an arithmetic number, because the mean of its divisors is an integer number (50155555156).

Almost surely, 2^100311110311 is an apocalyptic number.

100311110311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311110311 is an equidigital number, since it uses as much as digits as its factorization.

100311110311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100311110311 its reverse (113011113001), we get a palindrome (213322223312).

The spelling of 100311110311 in words is "one hundred billion, three hundred eleven million, one hundred ten thousand, three hundred eleven".