1000133361 has 24 divisors (see below), whose sum is σ = 1467211616. Its totient is φ = 656372160.

The previous prime is 1000133333. The next prime is 1000133383. The reversal of 1000133361 is 1633310001.

It is not a de Polignac number, because 1000133361 - 2⁶ = 1000133297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000133261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452886 + ... + 455088.

Almost surely, 2^1000133361 is an apocalyptic number.

It is an amenable number.

1000133361 is a deficient number, since it is larger than the sum of its proper divisors (467078255).

1000133361 is a wasteful number, since it uses less digits than its factorization.

1000133361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1000133361 is about 31624.8851539417. The cubic root of 1000133361 is about 1000.0444516907.

Adding to 1000133361 its reverse (1633310001), we get a palindrome (2633443362).

The spelling of 1000133361 in words is "one billion, one hundred thirty-three thousand, three hundred sixty-one".