13141230402432 has 256 divisors, whose sum is σ = 39742611793920. Its totient is φ = 3808355358720.

The previous prime is 13141230402401. The next prime is 13141230402491. The reversal of 13141230402432 is 23420403214131.

It is a self number, because there is not a number n which added to its sum of digits gives 13141230402432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791489043 + ... + 791505645.

It is an arithmetic number, because the mean of its divisors is an integer number (155244577320).

Almost surely, 2^{13141230402432} is an apocalyptic number.

13141230402432 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 13141230402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871305896960).

13141230402432 is an abundant number, since it is smaller than the sum of its proper divisors (26601381391488).

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

13141230402432 is a wasteful number, since it uses less digits than its factorization.

13141230402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24801 (or 24789 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13141230402432 its reverse (23420403214131), we get a palindrome (36561633616563).

The spelling of 13141230402432 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirty million, four hundred two thousand, four hundred thirty-two".