13130204232432 has 320 divisors, whose sum is σ = 40096553656320. Its totient is φ = 3624921676800.

The previous prime is 13130204232377. The next prime is 13130204232451. The reversal of 13130204232432 is 23423240203131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13130204232432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2335085973 + ... + 2335091595.

It is an arithmetic number, because the mean of its divisors is an integer number (125301730176).

Almost surely, 2^{13130204232432} is an apocalyptic number.

13130204232432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130204232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048276828160).

13130204232432 is an abundant number, since it is smaller than the sum of its proper divisors (26966349423888).

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

13130204232432 is a wasteful number, since it uses less digits than its factorization.

13130204232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13130204232432 its reverse (23423240203131), we get a palindrome (36553444435563).

The spelling of 13130204232432 in words is "thirteen trillion, one hundred thirty billion, two hundred four million, two hundred thirty-two thousand, four hundred thirty-two".