105342601313 has 2 divisors, whose sum is σ = 105342601314. Its totient is φ = 105342601312.

The previous prime is 105342601253. The next prime is 105342601367. The reversal of 105342601313 is 313106243501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90587154529 + 14755446784 = 300977^2 + 121472^2 .

It is an emirp because it is prime and its reverse (313106243501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105342601313 - 2⁸ = 105342601057 is a prime.

It is a super-2 number, since 2×105342601313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105342601373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52671300656 + 52671300657.

It is an arithmetic number, because the mean of its divisors is an integer number (52671300657).

Almost surely, 2^105342601313 is an apocalyptic number.

It is an amenable number.

105342601313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105342601313 is an equidigital number, since it uses as much as digits as its factorization.

105342601313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 105342601313 its reverse (313106243501), we get a palindrome (418448844814).

The spelling of 105342601313 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, three hundred thirteen".