100131532240000 has 240 divisors, whose sum is σ = 260580391387470. Its totient is φ = 38311178752000.

The previous prime is 100131532239997. The next prime is 100131532240001. The reversal of 100131532240000 is 42235131001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 825205094464 + 99306327145536 = 908408^2 + 9965256^2 .

It is not an unprimeable number, because it can be changed into a prime (100131532240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41136972 + ... + 43503028.

Almost surely, 2^{100131532240000} is an apocalyptic number.

100131532240000 is a gapful number since it is divisible by the number (10) 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 100131532240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130290195693735).

100131532240000 is an abundant number, since it is smaller than the sum of its proper divisors (160448859147470).

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

100131532240000 is an frugal number, since it uses more digits than its factorization.

100131532240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366137 (or 2366087 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 100131532240000 its reverse (42235131001), we get a palindrome (100173767371001).

The spelling of 100131532240000 in words is "one hundred trillion, one hundred thirty-one billion, five hundred thirty-two million, two hundred forty thousand".