131521320 has 192 divisors, whose sum is σ = 506862720. Its totient is φ = 30046464.

The previous prime is 131521283. The next prime is 131521331. The reversal of 131521320 is 23125131.

It is a super-2 number, since 2×131521320² = 34595715229084800, which contains 22 as substring.

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 = 131521293 and 131521302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67074 + ... + 69006.

It is an arithmetic number, because the mean of its divisors is an integer number (2639910).

Almost surely, 2^131521320 is an apocalyptic number.

131521320 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 131521320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253431360).

131521320 is an abundant number, since it is smaller than the sum of its proper divisors (375341400).

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

131521320 is a wasteful number, since it uses less digits than its factorization.

131521320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131521320 is about 11468.2744996795. The cubic root of 131521320 is about 508.5481198099.

Adding to 131521320 its reverse (23125131), we get a palindrome (154646451).

It can be divided in two parts, 131521 and 320, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131521320 in words is "one hundred thirty-one million, five hundred twenty-one thousand, three hundred twenty".