100131103352 has 128 divisors (see below), whose sum is σ = 224374026240. Its totient is φ = 40990371840.

The previous prime is 100131103339. The next prime is 100131103361. The reversal of 100131103352 is 253301131001.

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 31 ways as a sum of consecutive naturals, for example, 98845598 + ... + 98846610.

It is an arithmetic number, because the mean of its divisors is an integer number (1752922080).

Almost surely, 2^100131103352 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 100131103352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112187013120).

100131103352 is an abundant number, since it is smaller than the sum of its proper divisors (124242922888).

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

100131103352 is a wasteful number, since it uses less digits than its factorization.

100131103352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 100131103352 its reverse (253301131001), we get a palindrome (353432234353).

The spelling of 100131103352 in words is "one hundred billion, one hundred thirty-one million, one hundred three thousand, three hundred fifty-two".