2000133017 has 2 divisors, whose sum is σ = 2000133018. Its totient is φ = 2000133016.

The previous prime is 2000132951. The next prime is 2000133041. The reversal of 2000133017 is 7103310002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1538914441 + 461218576 = 39229^2 + 21476^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000133017 - 2¹⁶ = 2000067481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000132986 and 2000133004.

It is not a weakly prime, because it can be changed into another prime (2000139017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000066508 + 1000066509.

It is an arithmetic number, because the mean of its divisors is an integer number (1000066509).

Almost surely, 2^2000133017 is an apocalyptic number.

It is an amenable number.

2000133017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000133017 is an equidigital number, since it uses as much as digits as its factorization.

2000133017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 2000133017 is about 44722.8467005400. The cubic root of 2000133017 is about 1259.9489810954.

Adding to 2000133017 its reverse (7103310002), we get a palindrome (9103443019).

The spelling of 2000133017 in words is "two billion, one hundred thirty-three thousand, seventeen".