100011132312 has 192 divisors, whose sum is σ = 317783335680. Its totient is φ = 25663412736.

The previous prime is 100011132293. The next prime is 100011132437. The reversal of 100011132312 is 213231110001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100011132291 and 100011132300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002903 + ... + 1098105.

It is an arithmetic number, because the mean of its divisors is an integer number (1655121540).

Almost surely, 2^100011132312 is an apocalyptic number.

100011132312 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 100011132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158891667840).

100011132312 is an abundant number, since it is smaller than the sum of its proper divisors (217772203368).

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

100011132312 is a wasteful number, since it uses less digits than its factorization.

100011132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95282 (or 95265 counting only the distinct ones).

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

Adding to 100011132312 its reverse (213231110001), we get a palindrome (313242242313).

The spelling of 100011132312 in words is "one hundred billion, eleven million, one hundred thirty-two thousand, three hundred twelve".