131007800 has 192 divisors, whose sum is σ = 389975040. Its totient is φ = 39744000.

The previous prime is 131007769. The next prime is 131007823. The reversal of 131007800 is 8700131.

131007800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723710 + ... + 723890.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^131007800 is an apocalyptic number.

131007800 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 131007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

131007800 is an abundant number, since it is smaller than the sum of its proper divisors (258967240).

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

131007800 is a wasteful number, since it uses less digits than its factorization.

131007800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 131007800 is about 11445.8638817697. The cubic root of 131007800 is about 507.8853875812.

131007800 divided by its sum of digits (20) gives a triangular number (6550390 = T₃₆₁₉).

Adding to 131007800 its reverse (8700131), we get a palindrome (139707931).

The spelling of 131007800 in words is "one hundred thirty-one million, seven thousand, eight hundred".