4100413133 has 2 divisors, whose sum is σ = 4100413134. Its totient is φ = 4100413132.

The previous prime is 4100413129. The next prime is 4100413147. The reversal of 4100413133 is 3313140014.

4100413133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4097664169 + 2748964 = 64013^2 + 1658^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100413133 - 2² = 4100413129 is a prime.

It is a super-2 number, since 2×4100413133² = 33626775722557751378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100413103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050206566 + 2050206567.

It is an arithmetic number, because the mean of its divisors is an integer number (2050206567).

Almost surely, 2^4100413133 is an apocalyptic number.

It is an amenable number.

4100413133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100413133 is an equidigital number, since it uses as much as digits as its factorization.

4100413133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4100413133 is about 64034.4683198041. The cubic root of 4100413133 is about 1600.5744204438.

Adding to 4100413133 its reverse (3313140014), we get a palindrome (7413553147).

The spelling of 4100413133 in words is "four billion, one hundred million, four hundred thirteen thousand, one hundred thirty-three".