105313330065114 has 12 divisors (see below), whose sum is σ = 228178881807786. Its totient is φ = 35104443355032.

The previous prime is 105313330065103. The next prime is 105313330065143. The reversal of 105313330065114 is 411560033313501.

105313330065114 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 133 + 3 + 0 + 0 + 6 + 511 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74042496992025 + 31270833073089 = 8604795^2 + 5592033^2 .

It is a super-2 number, since 2×105313330065114² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2925370279569 + ... + 2925370279604.

Almost surely, 2^{105313330065114} is an apocalyptic number.

105313330065114 is an abundant number, since it is smaller than the sum of its proper divisors (122865551742672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105313330065114 is a wasteful number, since it uses less digits than its factorization.

105313330065114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850740559181 (or 5850740559178 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 105313330065114 its reverse (411560033313501), we get a palindrome (516873363378615).

The spelling of 105313330065114 in words is "one hundred five trillion, three hundred thirteen billion, three hundred thirty million, sixty-five thousand, one hundred fourteen".