13142 has 4 divisors (see below), whose sum is σ = 19716. Its totient is φ = 6570.

The previous prime is 13127. The next prime is 13147. The reversal of 13142 is 24131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 24131 = 59 ⋅409.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147) by changing a digit.

13142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3284 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (4929).

2¹³¹⁴² is an apocalyptic number.

13142 is a deficient number, since it is larger than the sum of its proper divisors (6574).

13142 is an equidigital number, since it uses as much as digits as its factorization.

13142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573.

The product of its digits is 24, while the sum is 11.

The square root of 13142 is about 114.6385624474. The cubic root of 13142 is about 23.5986497360.

Subtracting from 13142 its sum of digits (11), we obtain a palindrome (13131).

Adding to 13142 its reverse (24131), we get a palindrome (37273).

It can be divided in two parts, 1314 and 2, that multiplied together give a triangular number (2628 = T₇₂).

The spelling of 13142 in words is "thirteen thousand, one hundred forty-two".