131431300 has 216 divisors, whose sum is σ = 388850112. Its totient is φ = 37440000.

The previous prime is 131431283. The next prime is 131431309. The reversal of 131431300 is 3134131.

It is not an unprimeable number, because it can be changed into a prime (131431309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1301250 + ... + 1301350.

It is an arithmetic number, because the mean of its divisors is an integer number (1800232).

Almost surely, 2^131431300 is an apocalyptic number.

131431300 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 131431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194425056).

131431300 is an abundant number, since it is smaller than the sum of its proper divisors (257418812).

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

131431300 is a wasteful number, since it uses less digits than its factorization.

131431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131431300 is about 11464.3490874973. The cubic root of 131431300 is about 508.4320677753.

Adding to 131431300 its reverse (3134131), we get a palindrome (134565431).

The spelling of 131431300 in words is "one hundred thirty-one million, four hundred thirty-one thousand, three hundred".