100311361 has 2 divisors, whose sum is σ = 100311362. Its totient is φ = 100311360.

The previous prime is 100311347. The next prime is 100311413. The reversal of 100311361 is 163113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89189136 + 11122225 = 9444^2 + 3335^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311361 - 2⁹ = 100310849 is a prime.

It is a super-3 number, since 3×100311361³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155680 + 50155681.

It is an arithmetic number, because the mean of its divisors is an integer number (50155681).

Almost surely, 2^100311361 is an apocalyptic number.

It is an amenable number.

100311361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311361 is an equidigital number, since it uses as much as digits as its factorization.

100311361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 100311361 is about 10015.5559506200. Note that the first 3 decimals coincide. The cubic root of 100311361 is about 464.6401208247.

Adding to 100311361 its reverse (163113001), we get a palindrome (263424362).

The spelling of 100311361 in words is "one hundred million, three hundred eleven thousand, three hundred sixty-one".