1020033131 has 12 divisors (see below), whose sum is σ = 1134392112. Its totient is φ = 916115616.

The previous prime is 1020033043. The next prime is 1020033149. The reversal of 1020033131 is 1313300201.

It is not a de Polignac number, because 1020033131 - 2²⁶ = 952924267 is a prime.

It is a super-2 number, since 2×1020033131² = 2080935176675326322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020033731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75311 + ... + 87816.

It is an arithmetic number, because the mean of its divisors is an integer number (94532676).

Almost surely, 2^1020033131 is an apocalyptic number.

1020033131 is a deficient number, since it is larger than the sum of its proper divisors (114358981).

1020033131 is a wasteful number, since it uses less digits than its factorization.

1020033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163190 (or 163177 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1020033131 is about 31937.9575270555. The cubic root of 1020033131 is about 1006.6336082712.

Adding to 1020033131 its reverse (1313300201), we get a palindrome (2333333332).

The spelling of 1020033131 in words is "one billion, twenty million, thirty-three thousand, one hundred thirty-one".