105120535113313 has 2 divisors, whose sum is σ = 105120535113314. Its totient is φ = 105120535113312.

The previous prime is 105120535113301. The next prime is 105120535113353. The reversal of 105120535113313 is 313311535021501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100780075389184 + 4340459724129 = 10038928^2 + 2083377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105120535113313 is a prime.

It is a super-2 number, since 2×105120535113313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105120535113353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52560267556656 + 52560267556657.

It is an arithmetic number, because the mean of its divisors is an integer number (52560267556657).

Almost surely, 2^{105120535113313} is an apocalyptic number.

It is an amenable number.

105120535113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105120535113313 is an equidigital number, since it uses as much as digits as its factorization.

105120535113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20250, while the sum is 34.

The spelling of 105120535113313 in words is "one hundred five trillion, one hundred twenty billion, five hundred thirty-five million, one hundred thirteen thousand, three hundred thirteen".