2131132320 has 144 divisors (see below), whose sum is σ = 7344995112. Its totient is φ = 562636800.

The previous prime is 2131132313. The next prime is 2131132337. The reversal of 2131132320 is 232311312.

2131132320 is a `hidden beast` number, since 2 + 1 + 311 + 32 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2131114896 + 17424 = 46164^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2131132293 and 2131132302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138114 + ... + 152766.

Almost surely, 2^2131132320 is an apocalyptic number.

2131132320 is a gapful number since it is divisible by the number (20) 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 2131132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672497556).

2131132320 is an abundant number, since it is smaller than the sum of its proper divisors (5213862792).

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

2131132320 is a wasteful number, since it uses less digits than its factorization.

2131132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14775 (or 14764 counting only the distinct ones).

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

The square root of 2131132320 is about 46164.1887180962. The cubic root of 2131132320 is about 1286.8763073383.

Adding to 2131132320 its reverse (232311312), we get a palindrome (2363443632).

The spelling of 2131132320 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".