100131112032 has 192 divisors, whose sum is σ = 326404915200. Its totient is φ = 26228759040.

The previous prime is 100131111989. The next prime is 100131112033. The reversal of 100131112032 is 230211131001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131112033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269319 + ... + 522297.

It is an arithmetic number, because the mean of its divisors is an integer number (1700025600).

Almost surely, 2^100131112032 is an apocalyptic number.

100131112032 is a gapful number since it is divisible by the number (12) 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 100131112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163202457600).

100131112032 is an abundant number, since it is smaller than the sum of its proper divisors (226273803168).

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

100131112032 is a wasteful number, since it uses less digits than its factorization.

100131112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253049 (or 253041 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100131112032 its reverse (230211131001), we get a palindrome (330342243033).

The spelling of 100131112032 in words is "one hundred billion, one hundred thirty-one million, one hundred twelve thousand, thirty-two".