130202756200000 has 1344 divisors, whose sum is σ = 377423018380800. Its totient is φ = 44098560000000.

The previous prime is 130202756199937. The next prime is 130202756200021. The reversal of 130202756200000 is 2657202031.

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 191 ways as a sum of consecutive naturals, for example, 373073799826 + ... + 373073800174.

It is an arithmetic number, because the mean of its divisors is an integer number (280820698200).

Almost surely, 2^{130202756200000} is an apocalyptic number.

130202756200000 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 130202756200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188711509190400).

130202756200000 is an abundant number, since it is smaller than the sum of its proper divisors (247220262180800).

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

130202756200000 is a wasteful number, since it uses less digits than its factorization.

130202756200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 130202756200000 in words is "one hundred thirty trillion, two hundred two billion, seven hundred fifty-six million, two hundred thousand".