131033 has 4 divisors (see below), whose sum is σ = 149760. Its totient is φ = 112308.

The previous prime is 131023. The next prime is 131041. The reversal of 131033 is 330131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 131033 - 2⁶ = 130969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9353 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2¹³¹⁰³³ is an apocalyptic number.

It is an amenable number.

131033 is a deficient number, since it is larger than the sum of its proper divisors (18727).

131033 is an equidigital number, since it uses as much as digits as its factorization.

131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18726.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 131033 is about 361.9848063110. The cubic root of 131033 is about 50.7917950251.

Adding to 131033 its sum of digits (11), we get a square (131044 = 362²).

Adding to 131033 its reverse (330131), we get a palindrome (461164).

The spelling of 131033 in words is "one hundred thirty-one thousand, thirty-three".