10013432431002 has 768 divisors, whose sum is σ = 28791109670400. Its totient is φ = 2279977943040.

The previous prime is 10013432430979. The next prime is 10013432431027. The reversal of 10013432431002 is 20013423431001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12377542774 + ... + 12377543582.

It is an arithmetic number, because the mean of its divisors is an integer number (37488424050).

Almost surely, 2^{10013432431002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013432431002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395554835200).

10013432431002 is an abundant number, since it is smaller than the sum of its proper divisors (18777677239398).

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

10013432431002 is a wasteful number, since it uses less digits than its factorization.

10013432431002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10013432431002 its reverse (20013423431001), we get a palindrome (30026855862003).

Subtracting 10013432431002 from its reverse (20013423431001), we obtain a palindrome (9999990999999).

The spelling of 10013432431002 in words is "ten trillion, thirteen billion, four hundred thirty-two million, four hundred thirty-one thousand, two".