11031100319 has 2 divisors, whose sum is σ = 11031100320. Its totient is φ = 11031100318.

The previous prime is 11031100303. The next prime is 11031100321. The reversal of 11031100319 is 91300113011.

11031100319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11031100319 - 2⁴ = 11031100303 is a prime.

It is a super-2 number, since 2×11031100319² (a number of 21 digits) contains 22 as substring.

Together with 11031100321, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11031100319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11031100349) 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, 5515550159 + 5515550160.

It is an arithmetic number, because the mean of its divisors is an integer number (5515550160).

Almost surely, 2^11031100319 is an apocalyptic number.

11031100319 is a deficient number, since it is larger than the sum of its proper divisors (1).

11031100319 is an equidigital number, since it uses as much as digits as its factorization.

11031100319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 11031100319 in words is "eleven billion, thirty-one million, one hundred thousand, three hundred nineteen".