13042 has 4 divisors (see below), whose sum is σ = 19566. Its totient is φ = 6520.

The previous prime is 13037. The next prime is 13043. The reversal of 13042 is 24031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 24031 = 7 ⋅3433.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 4761 = 91^2 + 69^2 .

It is a pancake number, because a pancake can be divided into 13042 parts by 161 straight cuts.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3259 + ... + 3262.

2¹³⁰⁴² is an apocalyptic number.

13042 is a deficient number, since it is larger than the sum of its proper divisors (6524).

13042 is an equidigital number, since it uses as much as digits as its factorization.

13042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13042 is about 114.2015761713. The cubic root of 13042 is about 23.5386417220.

Adding to 13042 its reverse (24031), we get a palindrome (37073).

It can be divided in two parts, 130 and 42, that multiplied together give a triangular number (5460 = T₁₀₄).

The spelling of 13042 in words is "thirteen thousand, forty-two".