131600016 has 30 divisors (see below), whose sum is σ = 368297670. Its totient is φ = 43866624.

The previous prime is 131600003. The next prime is 131600059. The reversal of 131600016 is 610006131.

131600016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 117939600 + 13660416 = 10860^2 + 3696^2 .

It is a super-2 number, since 2×131600016² = 34637128422400512, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 456801 + ... + 457088.

It is an arithmetic number, because the mean of its divisors is an integer number (12276589).

Almost surely, 2^131600016 is an apocalyptic number.

131600016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131600016 is an abundant number, since it is smaller than the sum of its proper divisors (236697654).

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

131600016 is a wasteful number, since it uses less digits than its factorization.

131600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913903 (or 913894 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131600016 is about 11471.7050171280. The cubic root of 131600016 is about 508.6495297900.

Adding to 131600016 its reverse (610006131), we get a palindrome (741606147).

The spelling of 131600016 in words is "one hundred thirty-one million, six hundred thousand, sixteen".