131315730 has 128 divisors (see below), whose sum is σ = 392491008. Its totient is φ = 27378432.

The previous prime is 131315713. The next prime is 131315731. The reversal of 131315730 is 37513131.

It is a self number, because there is not a number n which added to its sum of digits gives 131315730.

It is not an unprimeable number, because it can be changed into a prime (131315731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280957 + ... + 281423.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2^131315730 is an apocalyptic number.

131315730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131315730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245504).

131315730 is an abundant number, since it is smaller than the sum of its proper divisors (261175278).

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

131315730 is a wasteful number, since it uses less digits than its factorization.

131315730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 131315730 is about 11459.3075707043. The cubic root of 131315730 is about 508.2829994655.

Adding to 131315730 its reverse (37513131), we get a palindrome (168828861).

The spelling of 131315730 in words is "one hundred thirty-one million, three hundred fifteen thousand, seven hundred thirty".