1020133001 has 2 divisors, whose sum is σ = 1020133002. Its totient is φ = 1020133000.

The previous prime is 1020132977. The next prime is 1020133019. The reversal of 1020133001 is 1003310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016334400 + 3798601 = 31880^2 + 1949^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020133001 - 2⁶ = 1020132937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020133061) 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, 510066500 + 510066501.

It is an arithmetic number, because the mean of its divisors is an integer number (510066501).

Almost surely, 2^1020133001 is an apocalyptic number.

It is an amenable number.

1020133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020133001 is an equidigital number, since it uses as much as digits as its factorization.

1020133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1020133001 is about 31939.5209888940. The cubic root of 1020133001 is about 1006.6664598896. Note that the first 3 decimals are identical.

Adding to 1020133001 its reverse (1003310201), we get a palindrome (2023443202).

The spelling of 1020133001 in words is "one billion, twenty million, one hundred thirty-three thousand, one".