1310133 has 24 divisors (see below), whose sum is σ = 2026080. Its totient is φ = 745920.

The previous prime is 1310123. The next prime is 1310137. The reversal of 1310133 is 3310131.

It is not a de Polignac number, because 1310133 - 2⁴ = 1310117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310137) 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, 35391 + ... + 35427.

It is an arithmetic number, because the mean of its divisors is an integer number (84420).

2^1310133 is an apocalyptic number.

It is an amenable number.

1310133 is a deficient number, since it is larger than the sum of its proper divisors (715947).

1310133 is a wasteful number, since it uses less digits than its factorization.

1310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1310133 is about 1144.6104140711. The cubic root of 1310133 is about 109.4221209753.

Adding to 1310133 its reverse (3310131), we get a palindrome (4620264).

The spelling of 1310133 in words is "one million, three hundred ten thousand, one hundred thirty-three".