131016160 has 48 divisors (see below), whose sum is σ = 337668912. Its totient is φ = 47641600.

The previous prime is 131016157. The next prime is 131016163. The reversal of 131016160 is 61610131.

It is an interprime number because it is at equal distance from previous prime (131016157) and next prime (131016163).

It is a super-2 number, since 2×131016160² = 34330468362291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131016163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35461 + ... + 38980.

It is an arithmetic number, because the mean of its divisors is an integer number (7034769).

Almost surely, 2^131016160 is an apocalyptic number.

131016160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131016160 is an abundant number, since it is smaller than the sum of its proper divisors (206652752).

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

131016160 is a wasteful number, since it uses less digits than its factorization.

131016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74467 (or 74459 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 131016160 is about 11446.2290733674. The cubic root of 131016160 is about 507.8961905805.

Adding to 131016160 its reverse (61610131), we get a palindrome (192626291).

It can be divided in two parts, 13101 and 6160, that multiplied together give a triangular number (80702160 = T₁₂₇₀₄).

The spelling of 131016160 in words is "one hundred thirty-one million, sixteen thousand, one hundred sixty".