13072133 has 8 divisors (see below), whose sum is σ = 14569920. Its totient is φ = 11655360.

The previous prime is 13072109. The next prime is 13072159. The reversal of 13072133 is 33127031.

It is a happy number.

13072133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13072133 - 2¹⁰ = 13071109 is a prime.

It is a super-2 number, since 2×13072133² = 341761322339378, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072933) 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 7 ways as a sum of consecutive naturals, for example, 19913 + ... + 20558.

It is an arithmetic number, because the mean of its divisors is an integer number (1821240).

Almost surely, 2^13072133 is an apocalyptic number.

It is an amenable number.

13072133 is a deficient number, since it is larger than the sum of its proper divisors (1497787).

13072133 is a wasteful number, since it uses less digits than its factorization.

13072133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40507.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 13072133 is about 3615.5404851834. The cubic root of 13072133 is about 235.5675613005.

Adding to 13072133 its reverse (33127031), we get a palindrome (46199164).

The spelling of 13072133 in words is "thirteen million, seventy-two thousand, one hundred thirty-three".