131016704 has 192 divisors, whose sum is σ = 348566400. Its totient is φ = 47775744.

The previous prime is 131016703. The next prime is 131016709. The reversal of 131016704 is 407610131.

It is a self number, because there is not a number n which added to its sum of digits gives 131016704.

It is not an unprimeable number, because it can be changed into a prime (131016703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540974 + ... + 3541010.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^131016704 is an apocalyptic number.

131016704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

131016704 is an abundant number, since it is smaller than the sum of its proper divisors (217549696).

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

131016704 is a wasteful number, since it uses less digits than its factorization.

131016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 131016704 is about 11446.2528366274. The cubic root of 131016704 is about 507.8968935349.

Adding to 131016704 its reverse (407610131), we get a palindrome (538626835).

The spelling of 131016704 in words is "one hundred thirty-one million, sixteen thousand, seven hundred four".