1020133 has 6 divisors (see below), whose sum is σ = 1057394. Its totient is φ = 984144.

The previous prime is 1020113. The next prime is 1020137. The reversal of 1020133 is 3310201.

It can be written as a sum of positive squares in 3 ways, for example, as 16129 + 1004004 = 127^2 + 1002^2 .

It is not a de Polignac number, because 1020133 - 2⁵ = 1020101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235 + ... + 1447.

2^1020133 is an apocalyptic number.

It is an amenable number.

1020133 is a deficient number, since it is larger than the sum of its proper divisors (37261).

1020133 is an equidigital number, since it uses as much as digits as its factorization.

1020133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1020133 is about 1010.0163365015. The cubic root of 1020133 is about 100.6666459561. Note that the first 4 decimals are identical.

Adding to 1020133 its reverse (3310201), we get a palindrome (4330334).

It can be divided in two parts, 10201 and 33, that multiplied together give a palindrome (336633).

The spelling of 1020133 in words is "one million, twenty thousand, one hundred thirty-three".