105144513113 has 2 divisors, whose sum is σ = 105144513114. Its totient is φ = 105144513112.

The previous prime is 105144513059. The next prime is 105144513119. The reversal of 105144513113 is 311315441501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89369906704 + 15774606409 = 298948^2 + 125597^2 .

It is a cyclic number.

It is not a de Polignac number, because 105144513113 - 2¹² = 105144509017 is a prime.

It is a super-2 number, since 2×105144513113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105144513119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572256556 + 52572256557.

It is an arithmetic number, because the mean of its divisors is an integer number (52572256557).

Almost surely, 2^105144513113 is an apocalyptic number.

It is an amenable number.

105144513113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144513113 is an equidigital number, since it uses as much as digits as its factorization.

105144513113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105144513113 its reverse (311315441501), we get a palindrome (416459954614).

The spelling of 105144513113 in words is "one hundred five billion, one hundred forty-four million, five hundred thirteen thousand, one hundred thirteen".