10133037 has 24 divisors (see below), whose sum is σ = 15672384. Its totient is φ = 6286464.

The previous prime is 10133033. The next prime is 10133047. The reversal of 10133037 is 73033101.

It is not a de Polignac number, because 10133037 - 2² = 10133033 is a prime.

It is a super-3 number, since 3×10133037³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15438 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (653016).

Almost surely, 2^10133037 is an apocalyptic number.

10133037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10133037 is a deficient number, since it is larger than the sum of its proper divisors (5539347).

10133037 is a wasteful number, since it uses less digits than its factorization.

10133037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 10133037 is about 3183.2431575360. The cubic root of 10133037 is about 216.3946616901.

Adding to 10133037 its reverse (73033101), we get a palindrome (83166138).

The spelling of 10133037 in words is "ten million, one hundred thirty-three thousand, thirty-seven".