130338054000 has 1440 divisors, whose sum is σ = 584364598272. Its totient is φ = 26497152000.

The previous prime is 130338053983. The next prime is 130338054031. The reversal of 130338054000 is 450833031.

It is a happy number.

130338054000 is a `hidden beast` number, since 13 + 0 + 33 + 80 + 540 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1265417949 + ... + 1265418051.

Almost surely, 2^130338054000 is an apocalyptic number.

130338054000 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 130338054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292182299136).

130338054000 is an abundant number, since it is smaller than the sum of its proper divisors (454026544272).

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

130338054000 is a wasteful number, since it uses less digits than its factorization.

130338054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130338054000 its reverse (450833031), we get a palindrome (130788887031).

The spelling of 130338054000 in words is "one hundred thirty billion, three hundred thirty-eight million, fifty-four thousand".