100131133312 has 128 divisors (see below), whose sum is σ = 242104262400. Its totient is φ = 40294195200.

The previous prime is 100131133303. The next prime is 100131133337. The reversal of 100131133312 is 213331131001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 100131133312.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1897687 + ... + 1949737.

It is an arithmetic number, because the mean of its divisors is an integer number (1891439550).

Almost surely, 2^100131133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121052131200).

100131133312 is an abundant number, since it is smaller than the sum of its proper divisors (141973129088).

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

100131133312 is a wasteful number, since it uses less digits than its factorization.

100131133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52204 (or 52192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100131133312 its reverse (213331131001), we get a palindrome (313462264313).

The spelling of 100131133312 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".