131314320 has 240 divisors, whose sum is σ = 481665600. Its totient is φ = 31933440.

The previous prime is 131314319. The next prime is 131314321. The reversal of 131314320 is 23413131.

131314320 is a `hidden beast` number, since 1 + 31 + 314 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (131314319) and next prime (131314321).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131314293 and 131314302.

It is not an unprimeable number, because it can be changed into a prime (131314321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396555 + ... + 396885.

It is an arithmetic number, because the mean of its divisors is an integer number (2006940).

Almost surely, 2^131314320 is an apocalyptic number.

131314320 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 131314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240832800).

131314320 is an abundant number, since it is smaller than the sum of its proper divisors (350351280).

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

131314320 is a wasteful number, since it uses less digits than its factorization.

131314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131314320 is about 11459.2460484973. The cubic root of 131314320 is about 508.2811802328.

Adding to 131314320 its reverse (23413131), we get a palindrome (154727451).

The spelling of 131314320 in words is "one hundred thirty-one million, three hundred fourteen thousand, three hundred twenty".