10271133 has 36 divisors (see below), whose sum is σ = 16305120. Its totient is φ = 6216672.

The previous prime is 10271123. The next prime is 10271141. The reversal of 10271133 is 33117201.

It is not a de Polignac number, because 10271133 - 2⁵ = 10271101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174058 + ... + 174116.

It is an arithmetic number, because the mean of its divisors is an integer number (452920).

Almost surely, 2^10271133 is an apocalyptic number.

It is an amenable number.

10271133 is a deficient number, since it is larger than the sum of its proper divisors (6033987).

10271133 is a wasteful number, since it uses less digits than its factorization.

10271133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10271133 is about 3204.8608394125. The cubic root of 10271133 is about 217.3732594941.

Adding to 10271133 its reverse (33117201), we get a palindrome (43388334).

It can be divided in two parts, 10271 and 133, that added together give a square (10404 = 102²).

The spelling of 10271133 in words is "ten million, two hundred seventy-one thousand, one hundred thirty-three".