131205330 has 144 divisors (see below), whose sum is σ = 370849752. Its totient is φ = 32140800.

The previous prime is 131205323. The next prime is 131205359. The reversal of 131205330 is 33502131.

131205330 is a `hidden beast` number, since 13 + 120 + 533 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99022401 + 32182929 = 9951^2 + 5673^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3200110 + ... + 3200150.

Almost surely, 2^131205330 is an apocalyptic number.

131205330 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 131205330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185424876).

131205330 is an abundant number, since it is smaller than the sum of its proper divisors (239644422).

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

131205330 is a wasteful number, since it uses less digits than its factorization.

131205330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131205330 is about 11454.4895128504. The cubic root of 131205330 is about 508.1405179922.

Adding to 131205330 its reverse (33502131), we get a palindrome (164707461).

The spelling of 131205330 in words is "one hundred thirty-one million, two hundred five thousand, three hundred thirty".