131112332100 has 288 divisors, whose sum is σ = 437034528000. Its totient is φ = 33680424960.

The previous prime is 131112332063. The next prime is 131112332147. The reversal of 131112332100 is 1233211131.

131112332100 is a `hidden beast` number, since 1 + 311 + 12 + 332 + 10 + 0 = 666.

131112332100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 39383236 + ... + 39386564.

It is an arithmetic number, because the mean of its divisors is an integer number (1517481000).

Almost surely, 2^131112332100 is an apocalyptic number.

131112332100 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 131112332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218517264000).

131112332100 is an abundant number, since it is smaller than the sum of its proper divisors (305922195900).

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

131112332100 is a wasteful number, since it uses less digits than its factorization.

131112332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3871 counting only the distinct ones).

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

Adding to 131112332100 its reverse (1233211131), we get a palindrome (132345543231).

The spelling of 131112332100 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred thirty-two thousand, one hundred".