131016 has 32 divisors (see below), whose sum is σ = 336960. Its totient is φ = 42432.

The previous prime is 131011. The next prime is 131023. The reversal of 131016 is 610131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130992 and 131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011) by changing a digit.

131016 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 in 7 ways as a sum of consecutive naturals, for example, 1221 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹³¹⁰¹⁶ 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 131016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

131016 is an abundant number, since it is smaller than the sum of its proper divisors (205944).

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

131016 is a wasteful number, since it uses less digits than its factorization.

131016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131016 is about 361.9613239008. The cubic root of 131016 is about 50.7895983829.

Adding to 131016 its reverse (610131), we get a palindrome (741147).

It can be divided in two parts, 13101 and 6, that multiplied together give a triangular number (78606 = T₃₉₆).

The spelling of 131016 in words is "one hundred thirty-one thousand, sixteen".