4114033330133 has 16 divisors (see below), whose sum is σ = 4380090422400. Its totient is φ = 3852946563840.

The previous prime is 4114033330117. The next prime is 4114033330157. The reversal of 4114033330133 is 3310333304114.

It is a cyclic number.

It is not a de Polignac number, because 4114033330133 - 2⁴ = 4114033330117 is a prime.

It is a super-4 number, since 4×4114033330133⁴ (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4114033330096 and 4114033330105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114033330933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8352560 + ... + 8831382.

It is an arithmetic number, because the mean of its divisors is an integer number (273755651400).

Almost surely, 2^{4114033330133} is an apocalyptic number.

It is an amenable number.

4114033330133 is a deficient number, since it is larger than the sum of its proper divisors (266057092267).

4114033330133 is a wasteful number, since it uses less digits than its factorization.

4114033330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484012.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 4114033330133 its reverse (3310333304114), we get a palindrome (7424366634247).

The spelling of 4114033330133 in words is "four trillion, one hundred fourteen billion, thirty-three million, three hundred thirty thousand, one hundred thirty-three".