13100304431032 has 256 divisors, whose sum is σ = 30747112704000. Its totient is φ = 5094982287360.

The previous prime is 13100304430999. The next prime is 13100304431047. The reversal of 13100304431032 is 23013440300131.

It is a junction number, because it is equal to n+sod(n) for n = 13100304430988 and 13100304431006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8338830807 + ... + 8338832377.

It is an arithmetic number, because the mean of its divisors is an integer number (120105909000).

Almost surely, 2^{13100304431032} 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 13100304431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15373556352000).

13100304431032 is an abundant number, since it is smaller than the sum of its proper divisors (17646808272968).

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

13100304431032 is a wasteful number, since it uses less digits than its factorization.

13100304431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13100304431032 its reverse (23013440300131), we get a palindrome (36113744731163).

The spelling of 13100304431032 in words is "thirteen trillion, one hundred billion, three hundred four million, four hundred thirty-one thousand, thirty-two".