131006216 has 96 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 52968960.

The previous prime is 131006209. The next prime is 131006231. The reversal of 131006216 is 612600131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312455 + ... + 312873.

It is an arithmetic number, because the mean of its divisors is an integer number (3142125).

Almost surely, 2^131006216 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 131006216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

131006216 is an abundant number, since it is smaller than the sum of its proper divisors (170637784).

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

131006216 is a wasteful number, since it uses less digits than its factorization.

131006216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 131006216 is about 11445.7946862592. The cubic root of 131006216 is about 507.8833406453.

Adding to 131006216 its reverse (612600131), we get a palindrome (743606347).

The spelling of 131006216 in words is "one hundred thirty-one million, six thousand, two hundred sixteen".