101433324040 has 48 divisors (see below), whose sum is σ = 242439711300. Its totient is φ = 38186658816.

The previous prime is 101433324017. The next prime is 101433324043. The reversal of 101433324040 is 40423334101.

It can be written as a sum of positive squares in 6 ways, for example, as 39253911876 + 62179412164 = 198126^2 + 249358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101433323996 and 101433324014.

It is not an unprimeable number, because it can be changed into a prime (101433324043) 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 11 ways as a sum of consecutive naturals, for example, 4375695 + ... + 4398814.

Almost surely, 2^101433324040 is an apocalyptic number.

101433324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101433324040 is an abundant number, since it is smaller than the sum of its proper divisors (141006387260).

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

101433324040 is a wasteful number, since it uses less digits than its factorization.

101433324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774554 (or 8774533 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 101433324040 its reverse (40423334101), we get a palindrome (141856658141).

The spelling of 101433324040 in words is "one hundred one billion, four hundred thirty-three million, three hundred twenty-four thousand, forty".