130013602444000 has 192 divisors, whose sum is σ = 348539798880000. Its totient is φ = 47270067264000.

The previous prime is 130013602443953. The next prime is 130013602444001. The reversal of 130013602444000 is 444206310031.

It is a self number, because there is not a number n which added to its sum of digits gives 130013602444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013602444001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276921451 + ... + 277390549.

It is an arithmetic number, because the mean of its divisors is an integer number (1815311452500).

Almost surely, 2^{130013602444000} is an apocalyptic number.

130013602444000 is a gapful number since it is divisible by the number (10) 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 130013602444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174269899440000).

130013602444000 is an abundant number, since it is smaller than the sum of its proper divisors (218526196436000).

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

130013602444000 is a wasteful number, since it uses less digits than its factorization.

130013602444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475434 (or 475416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 130013602444000 its reverse (444206310031), we get a palindrome (130457808754031).

The spelling of 130013602444000 in words is "one hundred thirty trillion, thirteen billion, six hundred two million, four hundred forty-four thousand".