131114320 has 20 divisors (see below), whose sum is σ = 304840980. Its totient is φ = 52445696.

The previous prime is 131114309. The next prime is 131114323. The reversal of 131114320 is 23411131.

It can be written as a sum of positive squares in 2 ways, for example, as 102981904 + 28132416 = 10148^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131114294 and 131114303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131114323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819385 + ... + 819544.

It is an arithmetic number, because the mean of its divisors is an integer number (15242049).

Almost surely, 2^131114320 is an apocalyptic number.

131114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131114320 is an abundant number, since it is smaller than the sum of its proper divisors (173726660).

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

131114320 is a wasteful number, since it uses less digits than its factorization.

131114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638942 (or 1638936 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131114320 is about 11450.5161455718. The cubic root of 131114320 is about 508.0230010046.

Adding to 131114320 its reverse (23411131), we get a palindrome (154525451).

The spelling of 131114320 in words is "one hundred thirty-one million, one hundred fourteen thousand, three hundred twenty".