4002133361 has 2 divisors, whose sum is σ = 4002133362. Its totient is φ = 4002133360.

The previous prime is 4002133351. The next prime is 4002133391. The reversal of 4002133361 is 1633312004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3760019761 + 242113600 = 61319^2 + 15560^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002133361 - 2¹⁴ = 4002116977 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002133321) 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, 2001066680 + 2001066681.

It is an arithmetic number, because the mean of its divisors is an integer number (2001066681).

Almost surely, 2^4002133361 is an apocalyptic number.

It is an amenable number.

4002133361 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002133361 is an equidigital number, since it uses as much as digits as its factorization.

4002133361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 4002133361 is about 63262.4166547564. The cubic root of 4002133361 is about 1587.6832101033.

Adding to 4002133361 its reverse (1633312004), we get a palindrome (5635445365).

The spelling of 4002133361 in words is "four billion, two million, one hundred thirty-three thousand, three hundred sixty-one".