1020035133 has 32 divisors (see below), whose sum is σ = 1629555200. Its totient is φ = 626885568.

The previous prime is 1020035117. The next prime is 1020035147. The reversal of 1020035133 is 3315300201.

It is not a de Polignac number, because 1020035133 - 2⁴ = 1020035117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020035153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363291 + ... + 366087.

It is an arithmetic number, because the mean of its divisors is an integer number (50923600).

Almost surely, 2^1020035133 is an apocalyptic number.

1020035133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020035133 is a deficient number, since it is larger than the sum of its proper divisors (609520067).

1020035133 is a wasteful number, since it uses less digits than its factorization.

1020035133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1020035133 is about 31937.9888690569. The cubic root of 1020035133 is about 1006.6342668378.

Adding to 1020035133 its reverse (3315300201), we get a palindrome (4335335334).

The spelling of 1020035133 in words is "one billion, twenty million, thirty-five thousand, one hundred thirty-three".