105354131353 has 2 divisors, whose sum is σ = 105354131354. Its totient is φ = 105354131352.

The previous prime is 105354131341. The next prime is 105354131357. The reversal of 105354131353 is 353131453501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94960736649 + 10393394704 = 308157^2 + 101948^2 .

It is an emirp because it is prime and its reverse (353131453501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105354131353 is a prime.

It is a super-2 number, since 2×105354131353² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105354131357) 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 as a sum of consecutive naturals, namely, 52677065676 + 52677065677.

It is an arithmetic number, because the mean of its divisors is an integer number (52677065677).

Almost surely, 2^105354131353 is an apocalyptic number.

It is an amenable number.

105354131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105354131353 is an equidigital number, since it uses as much as digits as its factorization.

105354131353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 34.

Adding to 105354131353 its reverse (353131453501), we get a palindrome (458485584854).

The spelling of 105354131353 in words is "one hundred five billion, three hundred fifty-four million, one hundred thirty-one thousand, three hundred fifty-three".