131070000 has 200 divisors, whose sum is σ = 449743536. Its totient is φ = 32768000.

The previous prime is 131069987. The next prime is 131070041. The reversal of 131070000 is 70131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509872 + ... + 510128.

Almost surely, 2^131070000 is an apocalyptic number.

131070000 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 131070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224871768).

131070000 is an abundant number, since it is smaller than the sum of its proper divisors (318673536).

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

131070000 is a wasteful number, since it uses less digits than its factorization.

131070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 131070000 is about 11448.5806980603. The cubic root of 131070000 is about 507.9657529561.

The spelling of 131070000 in words is "one hundred thirty-one million, seventy thousand".