105213220313 has 8 divisors (see below), whose sum is σ = 108093304320. Its totient is φ = 102335056560.

The previous prime is 105213220289. The next prime is 105213220327. The reversal of 105213220313 is 313022312501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105213220313 - 2³⁶ = 36493743577 is a prime.

It is a super-2 number, since 2×105213220313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105213220373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368633 + ... + 588486.

It is an arithmetic number, because the mean of its divisors is an integer number (13511663040).

Almost surely, 2^105213220313 is an apocalyptic number.

It is an amenable number.

105213220313 is a deficient number, since it is larger than the sum of its proper divisors (2880084007).

105213220313 is an equidigital number, since it uses as much as digits as its factorization.

105213220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960127.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 105213220313 its reverse (313022312501), we get a palindrome (418235532814).

The spelling of 105213220313 in words is "one hundred five billion, two hundred thirteen million, two hundred twenty thousand, three hundred thirteen".