13133541 has 24 divisors (see below), whose sum is σ = 18861024. Its totient is φ = 8125920.

The previous prime is 13133531. The next prime is 13133567. The reversal of 13133541 is 14533131.

13133541 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13133541 - 2¹³ = 13125349 is a prime.

Its product of digits (540) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133531) 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, 72471 + ... + 72651.

It is an arithmetic number, because the mean of its divisors is an integer number (785876).

Almost surely, 2^13133541 is an apocalyptic number.

It is an amenable number.

13133541 is a deficient number, since it is larger than the sum of its proper divisors (5727483).

13133541 is a wasteful number, since it uses less digits than its factorization.

13133541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 13133541 is about 3624.0227648292. The cubic root of 13133541 is about 235.9358546820.

Adding to 13133541 its reverse (14533131), we get a palindrome (27666672).

The spelling of 13133541 in words is "thirteen million, one hundred thirty-three thousand, five hundred forty-one".