105354131313 has 4 divisors (see below), whose sum is σ = 140472175088. Its totient is φ = 70236087540.

The previous prime is 105354131299. The next prime is 105354131317. The reversal of 105354131313 is 313131453501.

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.

It is not a de Polignac number, because 105354131313 - 2⁶ = 105354131249 is a prime.

It is a super-2 number, since 2×105354131313² (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 (105354131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17559021883 + ... + 17559021888.

It is an arithmetic number, because the mean of its divisors is an integer number (35118043772).

Almost surely, 2^105354131313 is an apocalyptic number.

It is an amenable number.

105354131313 is a deficient number, since it is larger than the sum of its proper divisors (35118043775).

105354131313 is an equidigital number, since it uses as much as digits as its factorization.

105354131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35118043774.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 105354131313 its reverse (313131453501), we get a palindrome (418485584814).

The spelling of 105354131313 in words is "one hundred five billion, three hundred fifty-four million, one hundred thirty-one thousand, three hundred thirteen".