131660100 has 432 divisors, whose sum is σ = 517189120. Its totient is φ = 28512000.

The previous prime is 131660083. The next prime is 131660129. The reversal of 131660100 is 1066131.

131660100 is a `hidden beast` number, since 1 + 3 + 1 + 660 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4247085 + ... + 4247115.

Almost surely, 2^131660100 is an apocalyptic number.

131660100 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 131660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258594560).

131660100 is an abundant number, since it is smaller than the sum of its proper divisors (385529020).

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

131660100 is a wasteful number, since it uses less digits than its factorization.

131660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131660100 is about 11474.3235094710. The cubic root of 131660100 is about 508.7269285861.

It can be divided in two parts, 1316 and 60100, that added together give a palindrome (61416).

The spelling of 131660100 in words is "one hundred thirty-one million, six hundred sixty thousand, one hundred".