131007660 has 96 divisors (see below), whose sum is σ = 441315840. Its totient is φ = 28366848.

The previous prime is 131007649. The next prime is 131007677. The reversal of 131007660 is 66700131.

131007660 = 1127² + 1128² + ... + 1221².

It is a self number, because there is not a number n which added to its sum of digits gives 131007660.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (4597040).

Almost surely, 2^131007660 is an apocalyptic number.

131007660 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 131007660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220657920).

131007660 is an abundant number, since it is smaller than the sum of its proper divisors (310308180).

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

131007660 is a wasteful number, since it uses less digits than its factorization.

131007660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131007660 is about 11445.8577660217. The cubic root of 131007660 is about 507.8852066658.

Adding to 131007660 its reverse (66700131), we get a palindrome (197707791).

The spelling of 131007660 in words is "one hundred thirty-one million, seven thousand, six hundred sixty".