4133101 has 6 divisors (see below), whose sum is σ = 4807950. Its totient is φ = 3542616.

The previous prime is 4133069. The next prime is 4133113. The reversal of 4133101 is 1013314.

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 561001 = 1890^2 + 749^2 .

It is not a de Polignac number, because 4133101 - 2⁵ = 4133069 is a prime.

4133101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42126 + ... + 42223.

It is an arithmetic number, because the mean of its divisors is an integer number (801325).

Almost surely, 2^4133101 is an apocalyptic number.

It is an amenable number.

4133101 is a deficient number, since it is larger than the sum of its proper divisors (674849).

4133101 is an equidigital number, since it uses as much as digits as its factorization.

4133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84363 (or 84356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 4133101 is about 2033.0029513014. The cubic root of 4133101 is about 160.4816346581.

Adding to 4133101 its reverse (1013314), we get a palindrome (5146415).

The spelling of 4133101 in words is "four million, one hundred thirty-three thousand, one hundred one".