110133313 has 2 divisors, whose sum is σ = 110133314. Its totient is φ = 110133312.

The previous prime is 110133263. The next prime is 110133319. The reversal of 110133313 is 313331011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93257649 + 16875664 = 9657^2 + 4108^2 .

It is a cyclic number.

It is not a de Polignac number, because 110133313 - 2¹⁷ = 110002241 is a prime.

It is not a weakly prime, because it can be changed into another prime (110133319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55066656 + 55066657.

It is an arithmetic number, because the mean of its divisors is an integer number (55066657).

Almost surely, 2^110133313 is an apocalyptic number.

It is an amenable number.

110133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110133313 is an equidigital number, since it uses as much as digits as its factorization.

110133313 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 16.

The square root of 110133313 is about 10494.4420051759. The cubic root of 110133313 is about 479.3354707621.

Adding to 110133313 its reverse (313331011), we get a palindrome (423464324).

The spelling of 110133313 in words is "one hundred ten million, one hundred thirty-three thousand, three hundred thirteen".