131010000 has 200 divisors, whose sum is σ = 462526944. Its totient is φ = 31680000.

The previous prime is 131009993. The next prime is 131010013. The reversal of 131010000 is 10131.

131010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 329802 + ... + 330198.

Almost surely, 2^131010000 is an apocalyptic number.

131010000 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 131010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231263472).

131010000 is an abundant number, since it is smaller than the sum of its proper divisors (331516944).

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

131010000 is a wasteful number, since it uses less digits than its factorization.

131010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 131010000 is about 11445.9599859514. The cubic root of 131010000 is about 507.8882305203. Note that the first 3 decimals are identical.

Adding to 131010000 its reverse (10131), we get a palindrome (131020131).

The spelling of 131010000 in words is "one hundred thirty-one million, ten thousand".