130014050452000 has 576 divisors, whose sum is σ = 378357364344960. Its totient is φ = 43524988416000.

The previous prime is 130014050451959. The next prime is 130014050452001. The reversal of 130014050452000 is 254050410031.

It is a happy number.

It is a super-3 number, since 3×130014050452000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130014050452001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2818220934 + ... + 2818267066.

It is an arithmetic number, because the mean of its divisors is an integer number (656870424210).

Almost surely, 2^{130014050452000} is an apocalyptic number.

130014050452000 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 130014050452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189178682172480).

130014050452000 is an abundant number, since it is smaller than the sum of its proper divisors (248343313892960).

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

130014050452000 is a wasteful number, since it uses less digits than its factorization.

130014050452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46574 (or 46543 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 130014050452000 in words is "one hundred thirty trillion, fourteen billion, fifty million, four hundred fifty-two thousand".