13131 has 6 divisors (see below), whose sum is σ = 18980. Its totient is φ = 8748.

The previous prime is 13127. The next prime is 13147.

13131 is nontrivially palindromic in base 8 and base 10.

It is not a de Polignac number, because 13131 - 2^{2} = 13127 is a prime.

It is a super-2 number, since 2×13131^{2} = 344846322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1459 = 13131 / (1 + 3 + 1 + 3 + 1).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

13131 is an undulating number in base 10.

It is a plaindrome in base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 721 + ... + 738.

2^{13131} is an apocalyptic number.

13131 is a deficient number, since it is larger than the sum of its proper divisors (5849).

13131 is a wasteful number, since it uses less digits than its factorization.

13131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1462 counting only the distinct ones).

The product of its digits is 9, while the sum is 9.

The square root of 13131 is about 114.5905755287. The cubic root of 13131 is about 23.5920637875.

It can be divided in two parts, 13 and 131, that added together give a square (144 = 12^{2}).

The spelling of 13131 in words is "thirteen thousand, one hundred thirty-one".

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