131053 has 8 divisors (see below), whose sum is σ = 149688. Its totient is φ = 113664.

The previous prime is 131041. The next prime is 131059. The reversal of 131053 is 350131.

It can be written as a sum of positive squares in 4 ways, for example, as 20164 + 110889 = 142^2 + 333^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131053 - 2¹³ = 122861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (18711).

2¹³¹⁰⁵³ is an apocalyptic number.

131053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131053 is a deficient number, since it is larger than the sum of its proper divisors (18635).

131053 is a wasteful number, since it uses less digits than its factorization.

131053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 131053 is about 362.0124307258. The cubic root of 131053 is about 50.7943790668.

Adding to 131053 its reverse (350131), we get a palindrome (481184).

It can be divided in two parts, 13 and 1053, that multiplied together give a square (13689 = 117²).

The spelling of 131053 in words is "one hundred thirty-one thousand, fifty-three".