13783133 has 24 divisors (see below), whose sum is σ = 17427456. Its totient is φ = 10670400.

The previous prime is 13783111. The next prime is 13783139. The reversal of 13783133 is 33138731.

It is not a de Polignac number, because 13783133 - 2⁶ = 13783069 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13783096 and 13783105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13783139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72068 + ... + 72258.

It is an arithmetic number, because the mean of its divisors is an integer number (726144).

Almost surely, 2^13783133 is an apocalyptic number.

13783133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13783133 is a deficient number, since it is larger than the sum of its proper divisors (3644323).

13783133 is a wasteful number, since it uses less digits than its factorization.

13783133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 13783133 is about 3712.5642081990. The cubic root of 13783133 is about 239.7632677251.

The spelling of 13783133 in words is "thirteen million, seven hundred eighty-three thousand, one hundred thirty-three".