131065000 has 80 divisors (see below), whose sum is σ = 335142720. Its totient is φ = 47640000.

The previous prime is 131064977. The next prime is 131065001. The reversal of 131065000 is 560131.

It is not an unprimeable number, because it can be changed into a prime (131065001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53809 + ... + 56191.

It is an arithmetic number, because the mean of its divisors is an integer number (4189284).

Almost surely, 2^131065000 is an apocalyptic number.

131065000 is a gapful number since it is divisible by the number (10) 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 131065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167571360).

131065000 is an abundant number, since it is smaller than the sum of its proper divisors (204077720).

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

131065000 is a wasteful number, since it uses less digits than its factorization.

131065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131065000 is about 11448.3623282983. The cubic root of 131065000 is about 507.9592936569.

The spelling of 131065000 in words is "one hundred thirty-one million, sixty-five thousand".