131103332100 has 432 divisors, whose sum is σ = 465143270592. Its totient is φ = 30664811520.

The previous prime is 131103332089. The next prime is 131103332149. The reversal of 131103332100 is 1233301131.

It is a happy number.

131103332100 is a `hidden beast` number, since 1 + 311 + 0 + 33 + 321 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18611179 + ... + 18618221.

Almost surely, 2^131103332100 is an apocalyptic number.

131103332100 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 131103332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232571635296).

131103332100 is an abundant number, since it is smaller than the sum of its proper divisors (334039938492).

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

131103332100 is a wasteful number, since it uses less digits than its factorization.

131103332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7146 counting only the distinct ones).

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

Adding to 131103332100 its reverse (1233301131), we get a palindrome (132336633231).

It can be divided in two parts, 131103 and 332100, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 131103332100 in words is "one hundred thirty-one billion, one hundred three million, three hundred thirty-two thousand, one hundred".