100431331321132 has 96 divisors (see below), whose sum is σ = 205018080970752. Its totient is φ = 42154522265856.

The previous prime is 100431331321103. The next prime is 100431331321163. The reversal of 100431331321132 is 231123133134001.

It is a super-3 number, since 3×100431331321132³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 100431331321132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903632498 + ... + 1903685254.

It is an arithmetic number, because the mean of its divisors is an integer number (2135605010112).

Almost surely, 2^{100431331321132} 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 100431331321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102509040485376).

100431331321132 is an abundant number, since it is smaller than the sum of its proper divisors (104586749649620).

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

100431331321132 is a wasteful number, since it uses less digits than its factorization.

100431331321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55087 (or 55085 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 100431331321132 its reverse (231123133134001), we get a palindrome (331554464455133).

The spelling of 100431331321132 in words is "one hundred trillion, four hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred thirty-two".