130201302012000 has 192 divisors, whose sum is σ = 427113571981824. Its totient is φ = 34673614886400.

The previous prime is 130201302011993. The next prime is 130201302012011. The reversal of 130201302012000 is 210203102031.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1614447 + ... + 16217553.

It is an arithmetic number, because the mean of its divisors is an integer number (2224549854072).

Almost surely, 2^{130201302012000} is an apocalyptic number.

130201302012000 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 130201302012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213556785990912).

130201302012000 is an abundant number, since it is smaller than the sum of its proper divisors (296912269969824).

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

130201302012000 is a wasteful number, since it uses less digits than its factorization.

130201302012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14603878 (or 14603860 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130201302012000 its reverse (210203102031), we get a palindrome (130411505114031).

The spelling of 130201302012000 in words is "one hundred thirty trillion, two hundred one billion, three hundred two million, twelve thousand".