131076 has 36 divisors (see below), whose sum is σ = 362544. Its totient is φ = 39600.

The previous prime is 131071. The next prime is 131101. The reversal of 131076 is 670131.

131076 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131071) by changing a digit.

131076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 561.

2¹³¹⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181272).

131076 is an abundant number, since it is smaller than the sum of its proper divisors (231468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131076 is a wasteful number, since it uses less digits than its factorization.

131076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131076 is about 362.0441961971. The cubic root of 131076 is about 50.7973503898.

It can be divided in two parts, 13 and 1076, that added together give a square (1089 = 33²).

The spelling of 131076 in words is "one hundred thirty-one thousand, seventy-six".