105133313 has 4 divisors (see below), whose sum is σ = 107370240. Its totient is φ = 102896388.

The previous prime is 105133309. The next prime is 105133319. The reversal of 105133313 is 313331501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313331501 = 7 ⋅44761643.

It is a cyclic number.

It is not a de Polignac number, because 105133313 - 2² = 105133309 is a prime.

It is a super-2 number, since 2×105133313² = 22106027004711938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105133319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1118393 + ... + 1118486.

It is an arithmetic number, because the mean of its divisors is an integer number (26842560).

Almost surely, 2^105133313 is an apocalyptic number.

It is an amenable number.

105133313 is a deficient number, since it is larger than the sum of its proper divisors (2236927).

105133313 is an equidigital number, since it uses as much as digits as its factorization.

105133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236926.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 105133313 is about 10253.4537108235. The cubic root of 105133313 is about 471.9689738894.

Adding to 105133313 its reverse (313331501), we get a palindrome (418464814).

The spelling of 105133313 in words is "one hundred five million, one hundred thirty-three thousand, three hundred thirteen".