10005001031432 has 64 divisors (see below), whose sum is σ = 20717990092800. Its totient is φ = 4491690719040.

The previous prime is 10005001031419. The next prime is 10005001031477. The reversal of 10005001031432 is 23413010050001.

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, 1979033 + ... + 4891479.

It is an arithmetic number, because the mean of its divisors is an integer number (323718595200).

Almost surely, 2^{10005001031432} 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 10005001031432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358995046400).

10005001031432 is an abundant number, since it is smaller than the sum of its proper divisors (10712989061368).

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

10005001031432 is a wasteful number, since it uses less digits than its factorization.

10005001031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912946 (or 2912942 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10005001031432 its reverse (23413010050001), we get a palindrome (33418011081433).

The spelling of 10005001031432 in words is "ten trillion, five billion, one million, thirty-one thousand, four hundred thirty-two".