1001133331 has 16 divisors (see below), whose sum is σ = 1139844960. Its totient is φ = 870929920.

The previous prime is 1001133319. The next prime is 1001133347. The reversal of 1001133331 is 1333311001.

1001133331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001133331 - 2¹¹ = 1001131283 is a prime.

It is a super-3 number, since 3×1001133331³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001137331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22161 + ... + 49933.

It is an arithmetic number, because the mean of its divisors is an integer number (71240310).

Almost surely, 2^1001133331 is an apocalyptic number.

1001133331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001133331 is a deficient number, since it is larger than the sum of its proper divisors (138711629).

1001133331 is a wasteful number, since it uses less digits than its factorization.

1001133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27926.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1001133331 is about 31640.6910638816. The cubic root of 1001133331 is about 1000.3776343743.

Adding to 1001133331 its reverse (1333311001), we get a palindrome (2334444332).

It can be divided in two parts, 1001 and 133331, that multiplied together give a palindrome (133464331).

The spelling of 1001133331 in words is "one billion, one million, one hundred thirty-three thousand, three hundred thirty-one".