4131004133 has 2 divisors, whose sum is σ = 4131004134. Its totient is φ = 4131004132.

The previous prime is 4131004123. The next prime is 4131004181. The reversal of 4131004133 is 3314001314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4129604644 + 1399489 = 64262^2 + 1183^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131004133 - 2¹² = 4131000037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4131004123) 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, 2065502066 + 2065502067.

It is an arithmetic number, because the mean of its divisors is an integer number (2065502067).

Almost surely, 2^4131004133 is an apocalyptic number.

It is an amenable number.

4131004133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131004133 is an equidigital number, since it uses as much as digits as its factorization.

4131004133 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 4131004133 is about 64272.8880088642. Note that the first 3 decimals coincide. The cubic root of 4131004133 is about 1604.5449074787.

Adding to 4131004133 its reverse (3314001314), we get a palindrome (7445005447).

The spelling of 4131004133 in words is "four billion, one hundred thirty-one million, four thousand, one hundred thirty-three".