101330432032 has 96 divisors (see below), whose sum is σ = 208690083504. Its totient is φ = 48386457600.

The previous prime is 101330432023. The next prime is 101330432053. The reversal of 101330432032 is 230234033101.

It can be written as a sum of positive squares in 8 ways, for example, as 35402680336 + 65927751696 = 188156^2 + 256764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101330431994 and 101330432012.

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, 36226858 + ... + 36229654.

Almost surely, 2^101330432032 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 101330432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104345041752).

101330432032 is an abundant number, since it is smaller than the sum of its proper divisors (107359651472).

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

101330432032 is a wasteful number, since it uses less digits than its factorization.

101330432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 101330432032 its reverse (230234033101), we get a palindrome (331564465133).

The spelling of 101330432032 in words is "one hundred one billion, three hundred thirty million, four hundred thirty-two thousand, thirty-two".