131132020310100 has 108 divisors (see below), whose sum is σ = 411125015140476. Its totient is φ = 34960117685760.

The previous prime is 131132020310099. The next prime is 131132020310143. The reversal of 131132020310100 is 1013020231131.

131132020310100 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 320 + 20 + 310 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67558634992836 + 63573385317264 = 8219406^2 + 7973292^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13804107 + ... + 21279506.

Almost surely, 2^{131132020310100} is an apocalyptic number.

131132020310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132020310100 is an abundant number, since it is smaller than the sum of its proper divisors (279992994830376).

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

131132020310100 is a wasteful number, since it uses less digits than its factorization.

131132020310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35087786 (or 35087776 counting only the distinct ones).

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

Adding to 131132020310100 its reverse (1013020231131), we get a palindrome (132145040541231).

The spelling of 131132020310100 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, twenty million, three hundred ten thousand, one hundred".