131333102100 has 108 divisors (see below), whose sum is σ = 422782265724. Its totient is φ = 34075607040.

The previous prime is 131333102077. The next prime is 131333102123. The reversal of 131333102100 is 1201333131.

It is a happy number.

131333102100 is a `hidden beast` number, since 1 + 313 + 331 + 0 + 21 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131333102077) and next prime (131333102123).

It can be written as a sum of positive squares in 6 ways, for example, as 5276860164 + 126056241936 = 72642^2 + 355044^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1938669 + ... + 2005268.

Almost surely, 2^131333102100 is an apocalyptic number.

131333102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333102100 is an abundant number, since it is smaller than the sum of its proper divisors (291449163624).

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

131333102100 is a wasteful number, since it uses less digits than its factorization.

131333102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943994 (or 3943984 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131333102100 its reverse (1201333131), we get a palindrome (132534435231).

The spelling of 131333102100 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred two thousand, one hundred".