13133461 has 6 divisors (see below), whose sum is σ = 14436086. Its totient is φ = 11939400.

The previous prime is 13133423. The next prime is 13133467. The reversal of 13133461 is 16433131.

It is a happy number.

13133461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12780625 + 352836 = 3575^2 + 594^2 .

It is not a de Polignac number, because 13133461 - 2¹⁹ = 12609173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133467) 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 5 ways as a sum of consecutive naturals, for example, 54150 + ... + 54391.

Almost surely, 2^13133461 is an apocalyptic number.

13133461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13133461 is a deficient number, since it is larger than the sum of its proper divisors (1302625).

13133461 is a wasteful number, since it uses less digits than its factorization.

13133461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108563 (or 108552 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 13133461 is about 3624.0117273541. The cubic root of 13133461 is about 235.9353756311.

Adding to 13133461 its reverse (16433131), we get a palindrome (29566592).

It can be divided in two parts, 1313 and 3461, that added together give a palindrome (4774).

The spelling of 13133461 in words is "thirteen million, one hundred thirty-three thousand, four hundred sixty-one".