131606310 has 128 divisors (see below), whose sum is σ = 360557568. Its totient is φ = 30464000.

The previous prime is 131606309. The next prime is 131606311. The reversal of 131606310 is 13606131.

131606310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131606309) and next prime (131606311).

It is a super-2 number, since 2×131606310² = 34640441663632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131606311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960562 + ... + 960698.

It is an arithmetic number, because the mean of its divisors is an integer number (2816856).

Almost surely, 2^131606310 is an apocalyptic number.

131606310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131606310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278784).

131606310 is an abundant number, since it is smaller than the sum of its proper divisors (228951258).

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

131606310 is a wasteful number, since it uses less digits than its factorization.

131606310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131606310 is about 11471.9793409856. The cubic root of 131606310 is about 508.6576386774.

The spelling of 131606310 in words is "one hundred thirty-one million, six hundred six thousand, three hundred ten".