131030016 has 176 divisors, whose sum is σ = 400294944. Its totient is φ = 37748736.

The previous prime is 131029993. The next prime is 131030047. The reversal of 131030016 is 610030131.

It is a junction number, because it is equal to n+sod(n) for n = 131029977 and 131030004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678816 + ... + 679008.

Almost surely, 2^131030016 is an apocalyptic number.

131030016 is a gapful number since it is divisible by the number (16) 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 131030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200147472).

131030016 is an abundant number, since it is smaller than the sum of its proper divisors (269264928).

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

131030016 is a wasteful number, since it uses less digits than its factorization.

131030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131030016 is about 11446.8343222045. The cubic root of 131030016 is about 507.9140946353.

Adding to 131030016 its reverse (610030131), we get a palindrome (741060147).

The spelling of 131030016 in words is "one hundred thirty-one million, thirty thousand, sixteen".