1010042033 has 64 divisors (see below), whose sum is σ = 1490227200. Its totient is φ = 658056960.

The previous prime is 1010042017. The next prime is 1010042057. The reversal of 1010042033 is 3302400101.

It is not a de Polignac number, because 1010042033 - 2⁴ = 1010042017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010041999 and 1010042017.

It is not an unprimeable number, because it can be changed into a prime (1010042003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436283 + ... + 438591.

It is an arithmetic number, because the mean of its divisors is an integer number (23284800).

Almost surely, 2^1010042033 is an apocalyptic number.

1010042033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010042033 is a deficient number, since it is larger than the sum of its proper divisors (480185167).

1010042033 is a wasteful number, since it uses less digits than its factorization.

1010042033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1010042033 is about 31781.1584590619. The cubic root of 1010042033 is about 1003.3362017139.

Adding to 1010042033 its reverse (3302400101), we get a palindrome (4312442134).

The spelling of 1010042033 in words is "one billion, ten million, forty-two thousand, thirty-three".